No.38 No. Procedure for calculation and verification of the 38 Energy Efficiency Design Index (EEDI) 38 (May 2013) (cont) (Rev.1 Mar 2016) (Rev.2 Mar 2019) (Rev.3 Jan 2021) Introduction This procedure applies to all cases of Class Societies’ involvement in conducting the survey and certification of EEDI in accordance with regulations 5, 6, 7, 8 and 9 of MARPOL Annex VI. 1 Definitions “Industry Guidelines” means the “2020 Industry Guidelines for calculation and verification of the Energy Efficiency Design Index (EEDI)” as submitted to MEPC 76 that may be revised in order to remain in line with the relevant IMO Guidelines. “Verifying Society” is a Society which conducts the survey and verification of EEDI of a ship. “Witnessing Society” is a Society which has witnessed the towing tank test of a ship of the same type as the ship whose EEDI is verified by the Verifying Society. “Ship of the same type” is defined in IMO “2014 Guidelines on Survey and Certification of the Energy Efficiency Design Index (EEDI)” as amended. “Witnessing protocol” is a document showing evidence of the witnessing and acceptance of the towing tank test by the Witnessing Society, with indication such as date, signature and possible remarks of the attending surveyor. 2 Scope of the Procedure The scope of this procedure is defined in Part I of the Industry Guidelines. 3 Calculation of EEDI The procedure to compute the EEDI is documented in Part II of the Industry Guidelines. For the purpose of this Procedural Requirement, calculation of the EEDI is to be performed in accordance with IMO “2018 Guidelines on the method of calculation of the attained Energy Efficiency Design Index (EEDI) for new ships, as amended” and Part II of the Industry Guidelines, as amended. Note: 1. This Procedural Requirement applies from 1 July 2013. 2. Rev.1 of this Procedural Requirement applies from 1 July 2016. 3. Rev.2 of this Procedural Requirement applies from 1 July 2019. 4. Rev.3 of this Procedural Requirement applies from 1 April 2021. Page 1 of 2 IACS Proc Req. 2013/ Rev.3 2021 No.38 No. 38 (cont) 4 Verification of EEDI The procedure to verify the EEDI is documented in Part III of the Industry Guidelines, together with Appendixes 1, 3, 4 and 5. For the purpose of this Procedural Requirement, verification of the EEDI is to be performed in accordance with IMO “2014 Guidelines on Survey and Certification of the Energy Efficiency Design Index (EEDI)” as amended and Part III of the Industry Guidelines, as amended. A sample of document to be submitted to the Verifier including additional information for verification is provided in Appendix 2 of the Industry Guidelines. 5 Acceptance of towing tank tests witnessed by another Society Further to the agreement of the submitter of the EEDI Technical File and the Shipowner, a Verifying Society may accept towing tank tests reports witnessed by another Society if the towing tank tested ship is of the same type as the ship of which the EEDI is verified. Copies of the following documents are to be provided to the Verifying Society, with due consideration given to the protection of the Intellectual Property Rights (IPR) as indicated under paragraph 14 of the Industry Guidelines: - Calculation of the reference speed of the verified ship explicitly making reference to the speed power curves of the tank tested ship model - Witnessing protocol of the tank tested ship endorsed by the surveyor of the Witnessing Society - Towing tank test report of the tank tested ship On specific request of the Verifying Society, the following additional information is to be submitted: - Ship lines and model particulars, loading and operating conditions of the tank tested ship as described in 4.2.7.2 of IMO “2014 Guidelines on Survey and Certification of the Energy Efficiency Design Index (EEDI)” as amended, showing that the verified ship and the tank tested ship are of the same type If some of the relevant information is held by the original Witnessing Society, the submitter should authorize the Witnessing Society to make the information available to the Verifying Society. 6 New ship (as per MARPOL Annex VI Regulation 2) designed before the entry into force of the MARPOL Annex VI amendments introducing the EEDI It is expected that the towing tank tests of a new ship performed before the entry into force of MARPOL Annex VI amendments introducing the EEDI have not been witnessed by a Verifier. In this case, towing tank test results provided by a tank test organization with quality control certified according to a recognized scheme or with experience acceptable to the Verifying Society may be accepted by the Verifying Society. Attached: 2020 Industry Guidelines for calculation and verification of the Energy Efficiency Design Index (EEDI) End of Document Page 2 of 2 IACS Proc Req. 2013/ Rev.3 2021 2020 Industry Guidelines for calculation and verification of EEDI 2020 INDUSTRY GUIDELINES FOR CALCULATION AND VERIFICATION OF THE ENERGY EFFICIENCY DESIGN INDEX (EEDI) TABLE OF CONTENTS Part I – Scope of the Industry Guidelines 1 Scope of the Guidelines… ....................................................................................... 2 Part II – Explanatory notes on calculation of EEDI 2 Introduction… .......................................................................................................... 3 3 EEDI formula… ........................................................................................................ 3 4 Fuel consumption and fuel conversion factor… ....................................................... 4 5 Capacity, power and speed… .................................................................................. 5 6 Shaft generator and shaft motor…........................................................................... 6 7 Weather factor fw ....................................................................................................13 8 Correction factor for ship specific design elements fj .............................................13 9 Capacity factor fi ....................................................................................................13 10 Cubic capacity correction factor fc and cargo gears factor fl ..................................14 11 Innovative energy efficient technologies… ............................................................14 12 Example of calculation… .......................................................................................15 Part III – Verification of EEDI 13 Verification process… ............................................................................................17 14 Documents to be submitted…................................................................................17 15 Preliminary verification at the design stage… ........................................................19 16 Final verification at sea trial… ................................................................................23 17 Verification of the EEDI in case of major conversion… .........................................25 1 Appendix 1. Review and witness points… .............................................................26 2 Appendix 2. Sample of document to be submitted to the verifier… .......................29 3 Appendix 3. Verifying the calibration of model test equipment ..............................45 4 Appendix 4. Review and witnessing of model test procedures… ..........................51 5 Appendix 5. Sample report "preliminary verification of EEDI"… ............................58 6 Appendix 6. Sample calculations of EEDI… ..........................................................59 Page 1 of 74 2020 Industry Guidelines for calculation and verification of EEDI Part I - Scope of the Industry Guidelines 1 Scope of the Guidelines 1.1 Objective The objective of these Industry Guidelines for calculation and verification of the Energy Efficiency Design Index (EEDI), hereafter designated as “the Industry Guidelines”, is to provide details and examples of calculation of attained EEDI and to support the method and role of the verifier in charge of conducting the survey and certification of EEDI in compliance with latest IMO Resolutions with respect to following Guidelines: ● ● ● ● ● 2018 Guidelines on the method of calculation of the attained Energy Efficiency Design Index (EEDI) for new ships, Res. MEPC.308(73) adopted on 26 October 2018, as amended by res. MEPC.322(74) adopted on 17 May 2019, referred to as the "IMO Calculation Guidelines" in the present document. 2014 Guidelines on survey and certification of EEDI, Res. MEPC.254(67) adopted on 17 October 2014, as amended (MEPC.1/Circ.855/Rev.2), referred to as the "IMO Verification Guidelines" in the present document 2013 interim Guidelines for determining minimum propulsion power to maintain the manoeuvrability of ships in adverse conditions, Res. MEPC.232(65) as amended (MEPC.1/Circ.850/Rev.2) 2013 Guidance on treatment of innovative energy efficiency technologies for calculation and verification of the attained EEDI, MEPC.1/Circ.815 2012 interim Guidelines for the calculation of the coefficient fw for decrease in ship speed in a representative sea condition for trial use, MEPC.1/Circ.796. In the event that the IMO Guidelines are amended, then pending amendment of these Industry Guidelines, calculation and verification of EEDI are to be implemented in compliance with the amended IMO Guidelines. 1.2 Application These Guidelines apply to new ships as defined in regulation 2.23 of MARPOL Annex VI of 400 gross tonnage and above of the ship types to which Regulation 20 of MARPOL Annex VI is applicable and defined under regulations of MARPOL Annex VI The calculation and verification of EEDI shall be performed for each: 1. new ship before ship delivery 2. new ship in service which has undergone a major conversion 3. new or existing ship which has undergone a major conversion that is so extensive that the ship is regarded by the Administration as a newly constructed ship The Industry Guidelines shall not apply to ships which have non-conventional propulsion, such as diesel-electric propulsion, turbine propulsion or hybrid propulsion systems, with the exception of cruise passenger ships with diesel-electric propulsion and LNG carriers having diesel-electric or steam turbine propulsion systems. The Industry Guidelines shall not apply to category A ships as defined in the Polar Code Page 2 of 74 2020 Industry Guidelines for calculation and verification of EEDI Part II - Explanatory notes on calculation of EEDI 2 Introduction The attained Energy Efficiency Design Index (EEDI) is a measure of a ship's energy efficiency determined as follows: 𝐸𝐸𝐷𝐼 𝐶𝑂 𝑒𝑚𝑖𝑠𝑠𝑖𝑜𝑛 𝑇𝑟𝑎𝑛𝑠𝑝𝑜𝑟𝑡 𝑤𝑜𝑟𝑘 The CO2 emission is computed from the fuel consumption taking into account the carbon content of the fuel. The fuel consumption is based on the power used for propulsion and auxiliary power measured at defined design conditions. The transport work is estimated by multiplying the ship capacity as defined in the IMO Calculation Guidelines by the ship’s reference speed at the corresponding draft. The reference speed is determined at 75% of the rated installed power in general and 83% of the rated installed propulsion power for LNG carriers having diesel electric or steam turbine propulsion systems. 3 EEDI formula The EEDI is provided by the following formula: With the following notes: The global fi factor may also be written: 𝑓 𝑓 where each individual fi factor is explained under section 9 of this document. If part of the normal maximum sea load is provided by shaft generators, the term 𝑃 𝑆𝐹𝐶 may be replaced by: 𝑃 0.75 ∗ 𝑃 with the condition 0.75 ∗ ∑ ∙𝐶 𝑃 ∙ 𝑆𝐹𝐶 0.75 ∗ 𝑃 ∙𝐶 ∙𝐶 ∙ 𝑆𝐹𝐶 𝑃 . Where the total propulsion power is limited by verified technical means as indicated under ∑ ∙𝐶 ∙ 𝑆𝐹𝐶 𝑃 ∙𝐶 ∙ 𝑆𝐹𝐶 is to be section 6, the term ∑ 𝑃 replaced by 75 percent of the limited total propulsion power multiplied by the average weighted value of (SFCME.CFME) and (SFCAE.CFAE). Due to the uncertainties in the estimation of the different parameters, the accuracy of the calculation of the attained EEDI cannot be better than 1%. Page 3 of 74 ∙ 2020 Industry Guidelines for calculation and verification of EEDI Therefore, the values of attained and required EEDI have to be reported with no more than three significant figures (for instance, 2.23 or 10.3) and compliance with Regulations 20, 21 of Chapter 4 of MARPOL Annex VI is to be verified in accordance with this accuracy. 4 Fuel consumption and Fuel Conversion Factor 4.1 General The conversion factor CF and the specific fuel consumption, SFC, are determined from the results recorded in the parent engine NOx Technical File as defined in the NOx Technical Code 2008. The fuel grade used during the test of the engine in the test bed measurement of SFC determines the value of the CF conversion factor according to the table provided under paragraph “CF ; Conversion factor between fuel consumption and CO2 emission” of the IMO Calculation Guidelines. SFC is the corrected specific fuel consumption, measured in g/kWh, of the engines or steam turbines as defined under paragraph “SFC,Certfied specific fuel consumption” of the IMO Calculation guidelines. For main engines certified to the E2 or E3 test cycles of the NOx Technical Code 2008, the engine Specific Fuel Consumption (SFCME(i)) is that recorded in the test report included in a NOx Technical File for the parent engine(s) at 75% of MCR power. For engines certified to the D2 or C1 test cycles of the NOx Technical Code 2008, the engine Specific Fuel Consumption (SFCAE(i)) is that recorded in the test report included in a NOx Technical File for the parent engine(s) at 50% of MCR power or torque rating. At the design stage, in case of unavailability of test reports in the NOx Technical File, the SFC value given by the manufacturer with the addition of the guarantee tolerance is to be used. 4.2 Dual-fuel engines Gas fuel may be used as primary fuel for one or more of the main and auxiliary engine(s) in accordance with the IMO Verification Guidelines. For these dual-fuel engines, the CF factor and the Specific Fuel Consumption for gas (LNG) and for pilot fuel should be combined at the relevant EEDI load point as described in the IMO Calculation Guidelines. 4.3 LNG carriers with steam turbine propulsion The Specific Fuel Consumption of the steam turbine should be determined during the running tests of the main boilers and steam turbines on board under load during the sea trials. For preliminary estimate of EEDI, manufacturer’s certificate is to be used. Page 4 of 74 2020 Industry Guidelines for calculation and verification of EEDI 5 Capacity, power and speed 5.1 Capacity The capacity of the ship is computed as a function of the gross tonnage for passenger and cruise passenger ships and of the deadweight for other types of ships as indicated the IMO Calculation Guidelines. For the computation of the deadweight according to the IMO Calculation Guidelines, the lightweight of the ship and the displacement at the summer load draught are to be based on the results of the inclining test or lightweight check provided in the final stability booklet. At the design stage, the deadweight may be taken in the provisional documentation. 5.2 Power The installed power for EEDI determination is taking into account the propulsion power and in general a fixed part of the auxiliary power, measured at the output of the crankshaft of main or auxiliary engine. For LNG carriers having diesel electric propulsion system, the power PME is 83% of the rated output of the electrical propulsion motor(s) divided by the electrical chain efficiency from the output of the auxiliary engines to the output of the propulsion motor(s). The total propulsion power is conventionally taken as follows: 𝑃 𝑃 ∙𝜂 ∙𝜂 In this formula: ● The value of PME(i) may be limited by verified technical means (see 6 below) ● The total propulsion power may be limited by verified technical means. In particular an electronic engine control system may limit the total propulsion power, whatever the number of engines in function (see 6 below) If shaft motors are installed (PTI), then in principle 75% of the shaft motor propulsion power is accounted for in the EEDI calculation. Detailed explanation about this is given in section 6. The auxiliary power can be nominally defined as a specified proportion of main engine power aiming to cover normal maximum sea load for propulsion and accommodation1. The nominal values are 2.5% of main engine power plus 250 kW for installed main engine power equal to or above 10 MW. 5% of main engine power will be accounted if less than 10 MW main engine power is installed. Alternatively, as explained below, the value for auxiliary power can be taken from the electric power table (EPT) of the ship. 1 under “PAE ; Auxiliary engine power” of the IMO Calculation Guidelines. Page 5 of 74 2020 Industry Guidelines for calculation and verification of EEDI For Passenger ships, Ro-Ro Passenger Ships and Cruise Passenger Ships, the PAE value should be estimated by the consumed electric power (excluding propulsion) in conditions when the ship is engaged in a voyage at reference speed (Vref), as given in the electric power table (EPT), divided by the average efficiency of the generator(s) weighted by power. As an option for other vessel types, if the difference between PAE value calculated by paragraphs “PAE ; Auxiliary engine power” of IMO Calculation Guidelines and PAE based on EPT, leads to a variation of the computed EEDI value exceeding 1%, the value for auxiliary power could be taken from the EPT. 5.3 Speed Vref The speed Vref is the ship speed, measured in knots, verified during sea trials and corrected to be given in the following ideal conditions: ● in deep water of 15°C ● assuming the weather is calm with no wind, no current and no waves ● in the loading condition corresponding to the Capacity ● at the total propulsion power defined in 5.2 taking into account shaft generators and shaft motors 6 Shaft generator and shaft motor 6.1 Introduction and background As for paragraphs “PPTO(i) ; Shaft generator” and “PPTI(i) ; Shaft Motor” of IMO Calculation Guidelines, content of this section applies to ships other than LNG carriers having dieselelectric propulsion system. Ships need electrical power for the operation of engine auxiliary systems, other systems, crew accommodation and for any cargo purposes. This electrical power can be generated by diesel-generator sets (gen-sets), shaft generators, waste heat recovery systems driving a generator and possibly by other innovative technologies, e.g. solar panels. Diesel-generator sets and shaft generators are the most common systems. While dieselgenerator sets use a diesel engine powering a generator, a shaft generator is driven by the main engine. It is considered that due to the better efficiency of the main engine and efficiency of the shaft generator less CO2 is emitted compared to gen-set operation. The EEDI formula expresses the propulsion power of a vessel as 75% of the main engine power PME. It is also termed shaft power PS, which corresponds to the ship’s speed Vref in the EEDI formula. PAE - the auxiliary power - is also included in the EEDI formula. However, this power demand is largely dependent on loading and trading patterns and it must also incorporate safety aspects, for example, the provision of a spare generator set. As noted in section 5, the auxiliary power can generally be taken into account as a fixed proportion of the main engine power (i.e. nominally 2.5% plus 250kW) 2. 2 c.f.: precise instruction in IMO Calculation Guidelines. Page 6 of 74 2020 Industry Guidelines for calculation and verification of EEDI The use of shaft generators is a well proven and often applied technology, particularly for high electrical power demands related to the payload e.g. reefer containers. Usually a ship design implements a main engine to reach the envisaged speed with some provision of sea margin. For the use of a shaft generator past practice and understanding was to install a bigger main engine to reach the same speed compared to the design without a shaft generator and to then have the excess power available from the main engine at any time for generation of electrical power. As a rule of thumb, one more cylinder was added to the main engine to cover this additional power demand. The difficulty with this issue for calculation of the EEDI is that the excess power could be used to move the ship faster in the case where the shaft generator is not in use which would produce a distortion between ship designs which are otherwise the same. The IMO Calculation Guidelines take these circumstances into account and offer options for the use of shaft generators. These options are described in detail, below. Further, electric shaft motors operate similarly to shaft generators; sometimes a shaft generator can act as a shaft motor. The possible influence of shaft motors has also been taken into account in the IMO Calculation Guidelines and is also illustrated, below. 6.2 Main engine power without shaft generators The main engines are solely used for the ship’s propulsion. For the purpose of the EEDI, the main engine power is 75 % of the rated installed power MCRME for each main engine: PME (i ) 0.75 MCRME (i ) 6.3 Main engine power with shaft generators Shaft generators produce electric power using power from the prime mover (main engine). Therefore the power used for the shaft generator is not available for the propulsion. Hence MCRME is the sum of the power needed for propulsion and the power needed for the shaft generator. Thus at least a part of the shaft generator’s power should be deductible from the main engine power (PME). The power driving the shaft generator is not only deducted in the calculation. As this power is not available for propulsion this yields a reduced reference speed. The speed is to be determined from the power curve obtained at the sea trial as explained in the schematic figure provided in paragraph “Option 2 of PPTO(i) ; Shaft generator” of the IMO Calculation Guidelines. It has been defined that 75% of the main engine power is entered in the EEDI calculation. To induce no confusion in the calculation framework, it has therefore also been defined to take into account 75% of the shaft power take off. For the calculation of the effect of shaft generators, two options are available. Page 7 of 74 2020 Industry Guidelines for calculation and verification of EEDI 6.3.1 Option 1 For this option, PPTO(i) is defined as 75% of the rated electrical output power MCRPTO of each shaft generator. The maximum allowable deduction is limited by the auxiliary power PAE as described in Paragraph “PAE ; Auxiliary engine power” of the IMO Calculation Guidelines. Then the main engine power PME is: 𝑃 0.75 𝑃 𝑀𝐶𝑅 0.75 𝑀𝐶𝑅 𝑃 𝑤𝑖𝑡ℎ 0.75 𝑃 𝑃 This means, that only the maximum amount of shaft generator power that is equal to PAE is deductible from the main engine power. In doing so, 75% of the shaft generator power to be used in the EEDI calculation must NOT be greater than the auxiliary power calculated in accordance to Para. “PAE ; Auxiliary engine power” of IMO Calculation Guidelines. Higher shaft generators output than PAE will not be accounted for under option 1. 6.3.2 Option 2 The main engine power PME to be considered for the calculation of the EEDI is defined as 75% of the power to which the propulsion system is limited. This can be achieved by any verified technical means, e.g. by electronic engine controls. 𝑃 0.75 𝑃 , This option is to cover designs with the need for very high power requirements (e.g., pertaining to the cargo). With this option it is ensured that the higher main engine power cannot be used for a higher ship speed. This can be safeguarded by the use of verified technical devices limiting the power to the propulsor. For example, consider a ship having a 15 MW main engine with a 3 MW shaft generator. The shaft limit is verified to 12 MW. The EEDI is then calculated with only 75% of 12 MW as main engine power as, in any case of operation, no more power than 12 MW can be delivered to the propulsor, irrespective of whether a shaft generator is in use or not. It is to be noted that the guidelines do not stipulate any limits as to the value of the shaft limit in relation to main engine power or shaft generator power. 6.3.3 The use of specific fuel oil consumption and CF-factor Shaft generators are driven by the main engine, therefore the specific fuel oil consumption of the main engine is allowed to be used to the full extent if 75% of the shaft generator power is equal to PAE. In the case shaft generator power is less than PAE then 75% of the shaft generator power is calculated with the main engine's specific fuel oil consumption and the remaining part of the total PAE power is calculated with SFC of the auxiliaries (SFCAE). The same applies to the conversion factor CF, if different fuels are used in the EEDI calculation. Page 8 of 74 2020 Industry Guidelines for calculation and verification of EEDI 6.4 Total shaft power with shaft motors In the case where shaft motor(s) are installed, the same guiding principles as explained for shaft generators, above, apply. But in contrast to shaft generators, motors do increase the total power to the propulsor and do increase ships’ speed and therefore must be included in the total shaft power within the EEDI calculation. The total shaft power is thus main engine(s) power plus the additional shaft motor(s) power: 𝑃 𝑃 , Where: 𝑃 , 0.75 ∙ 𝑃 , ∙𝜂 and ΣPME may be 0(zero) if the ship is a diesel-electric cruise passenger ship. Similar to the shaft generators, only 75% of the rated power consumption PSM,max (i.e. rated motor output divided by the motor efficiency) of each shaft motor divided by the weighted average efficiency of the generator(s) Gen is taken into account for EEDI calculation3. 𝑃 ∑ 0.75 ∙ 𝑃 𝜂 , Figure 1.1 provides the notations used for the power and efficiencies used in IMO Calculation Guidelines and the present document. Figure 1.1: flow of power in a generic shaft motor installation A power limitation similar to that described above for shaft generators can also be used for shaft motors. So if a verified technical measure is in place to limit the propulsion output, only 75% of limited power is to be used for EEDI calculation and also for that limited power Vref is determined. 3 The efficiency of shaft generators in the previous section has consciously not been taken into account in the denominator as inefficient generator(s) would increase the deductible power. Page 9 of 74 2020 Industry Guidelines for calculation and verification of EEDI A diagram is inserted to highlight where the mechanical and electrical efficiencies or the related devices (PTI and Generator’s) are located: Figure 1.2: Typical arrangement of propulsion and electric power system 6.5 Calculation examples For these calculation examples the ships’ following main parameters are set as: MCRME = 20,000 kW Capacity = 20,000 DWT CF,ME = 3.206 CF,AE = 3.206 SFCME = 190 g/kWh SFCAE = 215 g/kWh vref = 20 kn (without shaft generator/motor) 6.5.1 One main engine, no shaft generator MCRME 20,000kW PME 0.75 MCRME 0.75 20,000kW 15,000kW PAE 0.025 20,000 250kW 750kW EEDI 15,000 3.206 190 750 3.206 215/20 20,000 24.1 g CO2 / t nm Page 10 of 74 2020 Industry Guidelines for calculation and verification of EEDI 6.5.2 One main engine, 0.75 x PPTO<PAE, option 1 MCRPTO 500kW PPTO 500kW 0.75 375kW MCRME 20,000kW PME 0.75 MCRME PPTO 0.75 20,000kW 375kW 14,719kW PAE 0.025 MCRME 250kW 750kW vref 19.89kn : The speed at PME determined from the power curve EEDI PME CF ,ME SCFME 0.75 PPTO CF ,ME SCFME PAE 0.75 PPTO CF , AE SFCAE /DWT vref 23.8 g CO2 / t nm 6.5.3 1% One main engine, 0.75 x PPTO=PAE, option 1 MCRPTO 1,333kW PPTO 1,333kW 0.75 1,000kW MCRME 20,000kW PME 0.75 MCRME PPTO 0.75 20,000kW 1,000kW 14,250kW PAE 0.025 MCRME 250kW 750kW vref 19.71kn : The speed at PME determined from the power curve v EEDI PME CF ,ME SCFME 0.75 PPTO CF ,ME SCFME /DWT ref 23.2 g CO2 / t nm 6.5.4 4% One main engine with shaft generator, 0.75 x PPTO> PAE, option 1 MCRPTO 2,000kW 0.75 PPTO 0.75 2,000kW 0.75 1,125kW PAE PPTO PAE / 0.75 1,000kW MCRME 20,000kW PME 0.75 MCRME PPTO 0.75 20,000kW 1,000kW 14,250kW PAE 0.025 MCRME 250kW 750kW vref 19.71kn : The speed at PME determined from the power curve EEDI PME CF ,ME SCFME 0.75 PPTO CF , ME SCFME /DWT vref 23.2 g CO2 / t nm 6.5.5 4% One main engine with shaft generator, 0.75 x PPTO> PAE, option 2 MCRPTO 2,000kW MCRME 20,000kW PShaft,limit 18,000kW PME 0.75 PShaft,limit 0.75 18,000kW 13,500kW PAE 0.025 MCRME 250kW 750kW vref 19.41kn : The speed at PME determined from the power curve EEDI PME CF ,ME SFCME PAE CF ,ME SFCME /DWT vref 22.4 g CO2 / t nm 7% Page 11 of 74 2020 Industry Guidelines for calculation and verification of EEDI 6.5.6 One main engine, one shaft motor MCRME 18,000kW PME 0.75 MCRME 0.75 18,000kW 13,500kW 𝑃 0.025 𝑀𝐶𝑅 250𝑘𝑊 0.025 𝑃 0.75 18000 1612.9 0.75 250𝑘𝑊 754𝑘𝑊 PSM,max 2,000kW PPTI 0.75 PSM,max /Gen 1,612.9kW PTI 0.97 Gen 0.93 PShaft PME PPTI ,Shaft PME (PPTI PTI ) Gen 13,500kW (1612.9 0.97) 0.93 14,955kW vref 20kn EEDI = ((PME X CF, ME X SFC ME )+(PAE X CF, AE X SFCAE )+ (PPTI X CF, AE X SFCAE))/(DWT X Vref) 24.6 g CO2 / t nm 2% Page 12 of 74 2020 Industry Guidelines for calculation and verification of EEDI 7 Weather factor fw fw is a non-dimensional coefficient indicating the decrease of speed in representative sea conditions of wave height, wave frequency and wind speed (e.g. Beaufort Scale 6), and is taken as 1.0 for the calculation of attained EEDI. When a calculated fw factor is used, the attained EEDI using calculated fw shall be presented as "attained EEDIweather" in order to clearly distinguish it from the attained EEDI under regulations 20 in MARPOL Annex VI. Guidelines for the calculation of the coefficient fw for the decrease of ship speed in respective sea conditions are provided in MEPC.1/Circ.796, as amended. 8 Correction factor for ship specific design elements fj Except in the cases listed below, the value of the fj factor is 1.0. For Finnish-Swedish ice class notations or equivalent notations of the Classification Societies, the fj power correction factor is indicated in the IMO Calculation Guidelines4. For shuttle tankers with propulsion redundancy defined as oil tankers between 80,000 and 160,000 deadweight equipped with dual-engines and twin-propellers and assigned the class notations covering dynamic positioning and propulsion redundancy, the fj factor is 0.77. The total shaft propulsion power of shuttle tankers with redundancy is usually not limited by verified technical means. For ro-ro cargo and ro-ro passenger ships, the correction factor fjRoRo is to be computed according to the IMO calculation Guidelines. For general cargo ships, the correction factor fj is to be computed according to the IMO Calculation Guidelines. fj factors for ice-class and for ship’s type can be cumulated (multiplied) for ice-classed general cargo ships or ro-ro cargo or ro-ro passenger ships. 9 Capacity factor fi and Correction Factor fm for ice-classed ships having IA Super or IA Except in the cases listed below, the value of the fi factor is 1.0. For Finnish-Swedish ice class notations or equivalent notations of the Classification Societies, the fi capacity correction factor is indicated in the IMO Calculation Guidelines.4 For a ship with voluntary structural enhancement, the fiVSE ship specific voluntary structural enhancement factor is to be computed according to the IMO Calculation Guidelines. For bulk carriers and oil tankers built in accordance with the Common Structural Rules and assigned the class notation CSR, the fiCSR factor is to be computed according to the IMO Calculation Guidelines. fi capacity factors can be cumulated (multiplied), but the reference design for calculation of fiVSE is to comply with the ice notation and/or Common Structural Rules as the case may be. For ice-classed ships having IA Super or IA, the factor, fm = 1.05 should apply according to 2.2.19 of the IMO Calculation Guidelines. Page 13 of 74 2020 Industry Guidelines for calculation and verification of EEDI 10 Cubic capacity correction factor fc and cargo gears factor fl Except in the cases listed below, the value of the fc and fl factors is 1.0. For chemical tankers as defined in regulation 1.16.1 of MARPOL Annex II, the fc factor is to be computed according to the IMO Calculation Guidelines. For gas carriers having direct diesel driven propulsion constructed or adapted and used for the carriage in bulk of liquefied natural gas, the fc factor is to be computed according to the IMO Calculation Guidelines. This factor is not to be applied to LNG carriers defined in regulation 2.38 of MARPOL Annex VI. For ro-ro passenger ships having a DWT/GT-ratio of less than 0.25, the cubic capacity correction factor fcRoPax is to be computed according to the IMO Calculation Guidelines. For bulk carriers having R of less than 0.55 (e.g. wood chip carriers), the cubic capacity correction factor , fc bulk carriers designed to carry light cargoes, = R-0.15 should apply according to the IMO Calculation Guidelines. where, R is the capacity ratio of the deadweight of the ship (tonnes) divided by the total cubic capacity of the cargo tanks of the ship (m3) For general cargo ships only equipped with cranes, side loaders or ro-ro ramps, the fl correction factor is to be computed according to the IMO Calculation Guidelines. 11 Innovative energy efficient technologies Innovative energy efficient technologies are to be taken into account according to the 2013 Guidance on treatment of innovative energy efficiency technologies for calculation and verification of the attained EEDI, MEPC.1/Circ.815 as amended. 4 Tables 1 and 2 in IMO Calculation Guidelines refer to Finnish/Swedish ice classed ships usually trading in the Baltic Sea. Justified alternative values for fi and fj factors may be accepted for ice-classed ships outside this scope of application (e.g. very large ships or POLAR CLASS) Page 14 of 74 2020 Industry Guidelines for calculation and verification of EEDI 12 Example of calculation 12.1 List of input parameters for calculation of EEDI The input parameters used in the calculation of the EEDI are provided in Table 1. The values of all these parameters are to be indicated in the EEDI Technical File and the documents listed in the “source” column are to be submitted to the verifier. For electrical generator, the rated electrical output in kW is related to the rated apparent power output in kVA by the following relation: MCRPTO (kW) = KVAPTO * 0.8 where 0.8 is the conventional power factor. Table 1: input parameters for calculation of EEDI Symbol Name Usage Source Scope Service Capacity, fi, fj and For the notation fc factors ship Class fj for shuttle tanker, Classification file fiCSR notations Ice notation fi, fj for ice class Lpp Length fi, fj for ice class, between fjRoRo, fj for general perpendiculars cargo ships (m) BS Breadth (m) fjRoRo, fj for general cargo ships dS Summer load fjRoRo, fj for general line draught (m) cargo ships ∇ Volumetric fjRoRo, fj for general displacement cargo ships Δ Displacement deadweight, fiVSE, final stability file @ summer fcRoPax, fl for general load draught (t) cargo ships, fc for bulk carriers LWT Ligthweight (t) deadweight, fiVSE, Sheets of Submitter fiCSR, fcRoPax fl for calculation for lightweightreferencedesign general cargo ships lightweight check report GT Gross tonnage Capacity, fcRoPax PAE Auxiliary EEDI Note: Computed from engine power engines & PTIs powers (kW) or electric power table Vref Reference EEDI, fjRoRo, fj for Sea trial report speed (knot) general cargo ships Cube Total cubic fc for chemical Tonnage file capacity of the cargo tanks (m3) Vgas(or liquid) SWL Reach Tank volume for fuels (m3) Safe working load of the crane (t) Reach of the crane (m) tankers and gas carriers fDFgas, fDFliquid Capacity plan availability ratios fl for general cargo ships fl for general cargo ships Page 15 of 74 2020 Industry Guidelines for calculation and verification of EEDI Symbol MCR Name Rated installed power (kW) Usage PME MCRlim Limited rated output power after PTO in (kW) Rated output of motor (kW) PME with PTO option 2 MPPMotor η Electrical efficiency MCRSteamTurbine Rated installed power (kW) Fuel grade SFC KVAPTO PPTI,Shaft ηPTI ηGEN PSHAFTlim PME for LNG carriers having diesel electric propulsion system PME for LNG carriers having diesel electric propulsion system PME for LNG carriers having steam turbine propulsion system CF, SFC EEDI Corrected specific fuel consumption (g/kWh) Rated electrical apparent output power (kVA) Mechanical output power (kW) efficiency efficiency power power Limited shaft propulsion power (kW) Limited power where means of limitation are fitted Source EIAPP certificate or nameplate (if less than 130 kW) Verification file Scope Per engine (nME + nGEN) Certificate of the product Certificate of the product NOX Technical File of the parent engine NOx Technical File of the parent engine PME Nameplate of the shaft generator Per shaft generator (nPTO) EEDI Nameplate of the shaft motor Per shaft motor (nPTI) Verification file 12.2 Sample calculation of EEDI A sample of document to be submitted to the verifier is provided in Appendix 2. In addition, Appendix 6 contains a list of sample calculations of EEDI, as follows: ● Appendix 6.1: Cruise passenger ship with diesel-electric propulsion ● Appendix 6.2: LNG carrier with diesel-electric propulsion ● Appendix 6.3: Diesel-driven LNG carrier with re-liquefaction system ● Appendix 6.4: LNG carrier with steam turbine propulsion Page 16 of 74 Per generator (nGEN) Per shaftline (nSHAFT) 2020 Industry Guidelines for calculation and verification of EEDI Part III - Verification of EEDI 13 Verification process Attained EEDI is to be computed in accordance with the IMO Calculation Guidelines and Part II of the present Industry Guidelines. Survey and certification of the EEDI are to be conducted according to the IMO verification Guidelines. on two stages: 1. preliminary verification at the design stage 2. final verification at the sea trial The flow of the survey and certification process is presented in Figure 2. Figure 2: Flow of survey and certification process by verifier 14 Documents to be submitted A sample of documents to be submitted to the verifier including additional information for verification is provided in Appendix 2. The following information/documents are to be submitted by the submitter to the verifier at the design stage. Reference is to be made also to Appendix 1, Appendix 3 and Appendix 4 Page 17 of 74 2020 Industry Guidelines for calculation and verification of EEDI Table 2: documents to be submitted at the design stage EEDI Technical File EEDI Technical File as defined in the IMO Verification Guidelines. See example of the EEDI Technical File in Appendix 1 of IMO Verification Guidelines. NOx Technical File Copy of the NOx Technical File and documented summary of the SFC correction for each type of main and auxiliary engine with copy of EIAPP certificate. Electric Power Table Ship lines and model particulars Verification file of power limitation technical arrangement Power curves Description of the towing tank test facility and towing tank test organisation quality manual Gas fuel oil general arrangement plan Towing Tank Tests Plan Towing Tank Tests Report Ship reference speed Vref Note: if the NOx Technical File has not been approved at the time of the preliminary verification, the SFC value with the addition of the guarantee tolerance is to be provided by Manufacturer. In this case, the NOx Technical File is to be submitted at the final verification stage. If PAE is significantly different from the values computed using the formula in the IMO Calculation Guidelines - Lines of ship - Report including the particulars of the ship model and propeller model If the propulsion power is voluntarily limited by verified technical means Power-speed curves predicted at full scale in sea trial condition and EEDI condition If the verifier has no recent experience with the towing tank test facility and the towing tank test organization quality system is not ISO 9001 certified. - Quality management system of the towing tank test including process control, justifications concerning repeatability and quality management processes - Records of measuring equipment calibration as described in Appendix 3 - Standard model-ship extrapolation and correlation method (applied method and tests description) If gas fuel is used as the primary fuel of the ship fitted with dual fuel engines. Gas fuel storage tanks (with capacities) and bunkering facilities are to be described. Plan explaining the different steps of the towing tank tests and the scheduled inspections allowing the verifier to check compliance with the items listed in Appendix 1 concerning tank tests - Report of the results of the towing tank tests at sea trial and EEDI condition as required in Appendix 4 - Values of the experience-based parameters defined in the standard model-ship correlation method used by the towing tank test organization/shipyard - Reasons for exempting a towing tank test, only if applicable - Numerical calculations report and validation file of these calculations, only if calculations are used to derive power curves Detailed calculation process of the ship speed, which is to include the estimation basis of experience-based parameters such as roughness coefficient, wake scaling coefficient Page 18 of 74 2020 Industry Guidelines for calculation and verification of EEDI The following information is to be submitted by the submitter to the verifier at the final verification stage (and before the sea trials for the programme of sea trials): Table 3: documents to be submitted at the final verification stage Programme of sea trials Description of the test procedure to be used for the speed trial, with number of speed points to be measured and indication of PTO/PTI to be in operation, if any. Sea trials report Report of sea trials with detailed computation of the corrections allowing determination of the reference speed Vref Final stability file Final stability file including lightweight of the ship and displacement table based on the results of the inclining test or the lightweight check Final power curves Final power curve in the EEDI condition showing the speed adjustment methodology Revised EEDI Technical File Including identification of the parameters differing from the calculation performed at the initial verification stage Ship lines Lines of actual ship Concerning confidential information of submitters that may be contained in the above mentioned documents, reference is to be made to IMO Verification Guidelines, 15 Preliminary verification at the design stage 15.1 Scope of the verifier work For the preliminary verification of the EEDI at the design stage, the verifier: ● ● ● ● ● Review the EEDI Technical File, check that all the input parameters (see 12.1 above) are documented and justified and check that the possible omission of a towing tank test has been properly justified Check that the ITTC procedures and quality system are implemented by the organization conducting the towing tank tests. The verifier should possibly audit the quality management system of the towing tank if previous experience is insufficiently demonstrated Witness the towing tank tests according to a test plan initially agreed between the submitter and the verifier Check that the work done by the towing tank test organisation is consistent with the present Guidelines. In particular, the verifier will check that the power curves at full scale are determined in a consistent way between sea trials and EEDI loading conditions, applying the same calculation process of the power curves and considering justifiable differences of experience based parameters between the two conditions Issue a pre-verification report 15.2 Definitions Experience-based parameters means parameters used in the determination of the scale effects coefficients of correlation between the towing tank model scale results and the full scale predictions of power curves. This may include: 1. Hull roughness correction 2. Wake correction factor 3. Air resistance correction factor (due to superstructures and deck load) 4. Appendages correction factor (for appendages not present at model scale) Page 19 of 74 2020 Industry Guidelines for calculation and verification of EEDI 5. 6. 7. 8. Propeller cavitation correction factor Propeller open-water characteristics correction CP and CN (see below) ∆CFC and ∆wC (see below) Ship of the same type means a ship of which hull form (expressed in the lines such as sheer plan and body plan) excluding additional hull features such as fins and of which principal particulars are identical to that of the base ship. Definition of survey methods directly involving the verifier: Review and Witness. Review means the act of examining documents in order to determine identification and traceability and to confirm that requested information are present and that EEDI calculation process conforms to relevant requirements. Witness means the attendance at scheduled key steps of the towing tank tests in accordance with the agreed Test Plan to the extent necessary to check compliance with the survey and certification requirements. 15.3 Towing tank tests and numerical calculations There are two loading conditions to be taken into account for EEDI: EEDI loading condition and sea trial condition. The speed power curves for these two loading conditions are to be based on towing tank test measurements. Towing tank test means model towing tests, model self-propulsion tests and model propeller open water tests. Numerical calculations may be accepted as equivalent to model propeller open water tests. Possible omission of towing tank tests is addressed in the IMO Verification Guidelines Numerical calculations may be submitted to justify derivation of speed power curves, where only one parent hull form have been verified with towing tank tests, in order to evaluate the effect of additional hull features such as fore bulb variations, fins and hydrodynamic energy saving devices. These numerical tests may include CFD calculation of propulsive efficiency at reference speed Vref as well as hull resistance variations and propeller open water efficiency. In order to be accepted, these numerical tests are to be carried out in accordance with defined quality and technical standards (ITTC 7.5-03-01-04 at its latest revision or equivalent). The comparison of the CFD-computed values of the unmodified parent hull form with the results of the towing tank tests must be submitted for review. 15.4 Qualification of verifier personnel Surveyors of the verifier are to confirm through review and witness as defined in 15.2 that the calculation of EEDI is performed according to the relevant requirements listed in 1.1. The surveyors are to be qualified to be able to carry out these tasks and procedures are to be in place to ensure that their activities are monitored. 15.5 Review of the towing tank test organisation quality system Page 20 of 74 2020 Industry Guidelines for calculation and verification of EEDI The verifier is to familiarize with the towing tank test organization test facilities, measuring equipment, standard model-ship extrapolation and correlation method (applied method and tests description) and quality system for consideration of complying with the requirements of 15.6 prior to the test attendance when the verifier has no recent experience of the towing tank test facilities. When in addition the towing tank test organization quality control system is not certified according to a recognized scheme (ISO 9001 or equivalent) the following additional information relative to the towing tank test organization is to be submitted to the verifier: 1. descriptions of the towing tank test facility; this includes the name of the facility, the particulars of towing tanks and towing equipment, and the records of calibration of each monitoring equipment as described in Appendix 3 2. quality manual containing at least the information listed in the ITTC Sample quality manual (2002 issue) Records of measuring equipment calibration as described in Appendix 3 15.6 Review and Witness The verifier is to review the EEDI Technical File, using also the other documents listed in table 2 and submitted for information in order to verify the calculation of EEDI at design stage. This review activity is described in Appendix 1. Since detailed process of the towing tank tests depends on the practice of each submitter, sufficient information is to be included in the document submitted to the verifier to show that the principal scheme of the towing tank test process meets the requirements of the reference documents listed in Appendix 1 and Appendix 4. Prior to the start of the towing tank tests, the submitter is to submit a test plan to the verifier. The verifier reviews the test plan and agrees with the submitter which scheduled inspections will be performed with the verifier surveyor in attendance in order to perform the verifications listed in Appendix 1 concerning the towing tank tests. Following the indications of the agreed test plan, the submitter will notify the verifier for the agreed tests to be witnessed. The submitter will advise the verifier of any changes to the activities agreed in the Test Plan and provide the submitter with the towing tank test report and results of trial speed prediction. 15.7 Model-ship correlation Model-ship correlation method followed by the towing tank test organization or shipyard is to be properly documented with reference to the 1978 ITTC Trial prediction method given in ITTC Recommended Procedure 7.5-02-03-1.4 rev.02 of 2011 or subsequent revision, mentioning the differences between the followed method and the 1978 ITTC trial prediction method and their global equivalence. Considering the formula giving the total full scale resistance coefficient of the ship with bilge keels and other appendages: 𝑆 𝑆 𝐶 ∙ 1 𝑘 ∙𝐶 Δ𝐶 𝐶 𝐶 𝐶 𝐶 𝑆 The way of calculating the form factor k, the roughness allowance ∆CF, the correlation allowance CA, the air resistance coefficient CAAS and the appendages coefficient CAppS are to Page 21 of 74 2020 Industry Guidelines for calculation and verification of EEDI be documented (if they are taken as 0, this has to be indicated also), as indicated in Appendix 4. The correlation method used is to be based on thrust identity and the correlation factors is to be according to method 1 (CP – CN) or method 2 (∆CFC - ∆wC) of the 1978 ITTC Trial prediction method. If the standard method used by the towing tank test organization doesn’t fulfil these conditions, an additional analysis based on thrust identity is to be submitted to the verifier. The verifier will check that the power-speed curves obtained for the EEDI condition and sea trial condition are obtained using the same calculation process and properly documented as requested in Appendix 4 “Witnessing of model test procedures”. In particular, the verifier will compare the differences between experience based coefficients Cp and ∆CFC between the EEDI condition (full) and sea trial condition if different from EEDI condition () with the indications given in Figures 3.1 and 3.2 extracted from a SAJ-ITTC study on a large number of oil tankers. If the difference is significantly higher than the values reported in the Figures, a proper justification of the values is to be submitted to the verifier. NB: The trends in Figures 3.1 and 3.2 are based on limited data and may be revised in the future. The displayed trends depend on the method used to analyze the model tests behind the data including the form factor and other correlation factor relations. Other values may be accepted if based on sufficient number of data. Figure 3.1: Variation of CP- CPFull as a function of the displacement ratio Page 22 of 74 2020 Industry Guidelines for calculation and verification of EEDI Figure 3.2: Variation of ∆CFC as a function of the displacement ratio 15.8 Pre-verification report The verifier issues the report on the "Preliminary Verification of EEDI" after it has verified the attained EEDI at the design stage in accordance with paragraphs 4.1 and 4.2 of the IMO Verification Guidelines. A sample of the report on the “Preliminary Verification of EEDI” is provided in Appendix 5. 16 Final verification at sea trial 16.1 Sea trial procedure For the verification of the EEDI at sea trial stage, the verifier shall: ● Examine the programme of the sea trial to check that the test procedure and in particular that the number of speed measurement points comply with the requirements of the IMO Verification Guidelines (see note below). ● Perform a survey to ascertain the machinery characteristics of some important electric load consumers and producers included in the EPT, if the power PAE is directly computed from the EPT data’s. ● Attend the sea trial and notes the main parameters to be used for the final calculation of the EEDI, as given under 4.3.3 of the IMO Verification Guidelines Page 23 of 74 2020 Industry Guidelines for calculation and verification of EEDI Review the sea trial report provided by the submitter and check that the measured power and speed have been corrected accordingly (see note below). ● Check that the power curve estimated for EEDI condition further to sea trial is obtained by power adjustment. ● Review the revised EEDI Technical File. ● Issue or endorse the International Energy Efficiency Certificate. ● Note: For application of the present Guidelines, sea conditions and ship speed should be measured in accordance with ITTC Recommended Procedure 7.5-04-01-01.1 Speed and Power Trials 2017 or ISO 15016:2015. Table 4 lists data which are to be measured and recorded during sea trials: Table 4: Measured data during sea trials Symbol Name Measurement Time and duration of sea trial Draft marks readings Air and sea temperature Main engine setting Machinery log Ψ0 Course direction (rad) Compass VG Speed over ground (m/s) GPS n Propeller rpm (rpm) Tachometer PS Power measured (kW) Torsion meter or strain gauges (for torque measurement) or any alternative method that offer an equivalent level of precision and accuracy of power measurement VWR Relative wind velocity (m/s) Wind indicator ΨWR Relative wind direction (rad) See above Tm Mean wave period (seas Visual observation by multiple and swell) (s) observers supplemented by hindcast data or wave measuring devices (wave buoy, wave radar, etc.) H1/3 Significant wave height See above (seas and swell) (m) χ Incident angle of waves ( See above seas and swell) (rad) δR Rudder angle (rad) Rudder β Drift angle (rad) GPS Remark Prior to the sea trial, the programme of the sea trials and , if available, additional documents listed in table 3 are to be submitted to the verifier in order for the verifier to check the procedure and to attend the sea trial and perform the verifications included in Appendix 1 concerning the sea trial. The ship speed is to be measured at sea trial for at least three power settings of which range includes the total propulsion power defined in 5.2 according to the requirements of the IMO Verification Guidelines 4.3.6. This requirement applies individually to each ship, even if the ship is a sister ship of a parent vessel. If it is physically impossible to meet the conditions in the ISO15016:2015 or ITTC Recommended Procedure 7.5-04-01-01, a practical treatment shall be allowed based on the documented mutual agreement among the owner, the verifier and the shipbuilder. Page 24 of 74 2020 Industry Guidelines for calculation and verification of EEDI 16.2 Estimation of the EEDI reference speed VRef The adjustment procedure is applicable to the most complex case where sea trials cannot be conducted in EEDI loading condition. It is expected that this will be usually the case for cargo ships like bulk carriers for instance. Ship speed should be measured in accordance with ISO 15016:2015 or ITTC Recommended Procedure 7.5-04-01-01.1, including the accuracy objectives under introduction section of ISO 15016:2015. In particular, if the shaft torque measurement device cannot be installed near the output flange of main engine, then the efficiency from the measured shaft power to brake horse power should be taken into account. Using the speed-power curve obtained from the sea trials in the trial condition, the conversion of ship’s speed from the trial condition to the EEDI condition shall be carried out by power adjustment as defined in Annex I of ISO 15016:2015. The reference speed Vref should be determined based on sea trials which have been carried out and evaluated in accordance with ISO 15016:2015 or equivalent (see note in 16.1). Reference is made to paragraph 3 of Appendix 2 (Figure 3.1) where an example is provided. 16.3 Revision of EEDI Technical File Reference is to be made to para 4.3.13 and para 4.3.14 of the IMO Verification Guidelines. 17 Verification of the EEDI in case of major conversion In this section, a major conversion is defined as in MARPOL Annex VI regulation 2.24 and interpretations in MEPC.1/Circ.795/ Rev4 subject to the approval of the Administration. For verification of the attained EEDI after a major conversion, no speed trials are necessary if the conversion or modifications don’t involve a variation in reference speed. In case of conversion, the verifier will review the modified EEDI Technical File. If the review leads to the conclusion that the modifications couldn’t cause the ship to exceed the applicable required EEDI, the verifier will not request speed trials. If such conclusion cannot be reached, like in the case of a lengthening of the ship, or increase of propulsion power of 10% or more, speed trials will be required. If an Owner voluntarily requests re-certification of EEDI with IEE Certificate reissuance on the basis of an improvement to the ship efficiency, the verifier may request speed trials in order to validate the attained EEDI value improvement. If speed trials are performed after conversion or modifications changing the attained EEDI value, tank tests verification is to be requested if the speed trials conditions differ from the EEDI condition. In this case, numerical calculations performed in accordance with defined quality and technical standards (ITTC 7.5-03-01-04 at its latest revision or equivalent) replacing tank tests may be accepted by the verifier to quantify influence of the hull modifications. In case of major conversion of a ship without prior EEDI, EEDI computation is not required, except if the Administration considers that due to the extensive character of the conversion, the ship is to be considered as a new one. Page 25 of 74 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 1 Review and witness points Ref. Function 01 EEDI Technical File Survey method Review 02 Limitation of power Review 03 Electric Power Table Review 04 Calibration of towing tank test measuring equipment Model tests – ship model Review & witness Review & witness Review & witness Review & witness 05 06 Model tests – propeller model 07 Model tests – Resistance test, Propulsion test, Propeller open water test Reference document IMO Verification Guidelines This document IMO Calculation Guidelines Appendix 2 to IMO Calculation Guidelines Appendix 2 to IMO Verification Guidelines Appendix 3 Appendix 4 Appendix 4 Appendix 4 Documentation available to verifier Documents in table 2 Remarks Verification file of limitation technical means EPT EPT-EEDI form Only If means of limitation are fitted Calibration reports Check at random that measuring devices are well identified and that calibration reports are currently valid Checks described in Appendix 4.1 Ship lines plan & offsets table Ship model report Propeller model report Towing tank tests report Page 26 of 74 As described under paragraph 5.2 of this industry guideline. Checks described in Appendix 4.2 Checks described in Appendix 4.3 Note: propeller open water test is not needed if a stock propeller is used. In this case, the open water characteristics of the stock propeller are to be annexed to the towing tank tests report. 2020 Industry Guidelines for calculation and verification of EEDI Ref. Function 08 Model-ship extrapolation and correlation Survey method Review Reference document ITTC 7.5-02-03-01.4 1978 ITTC performance prediction method (rev.04 of 2017 or subsequent revision) Documentation available to verifier Documents in table 2 Appendix 4 This document 15.7 09 Review ITTC 7.5-03-01-04 (latest revision) or equivalent Witness 11 Numerical calculations replacing towing tank tests Electrical machinery survey prior to sea trials Programme of sea trials Appendix 2 to IMO Verification Guidelines IMO Verification Guidelines 12 Sea trials Witness 10 Review ISO 15016:2015 or ITTC 7.5-04-01-01.1 (latest revision) Report of calculations Remarks Check that the ship-model correlation is based on thrust identity with correlation factor according to method 1 ( CP – CN) or method 2 (∆CFC - ∆wC) Check that the power-speed curves obtained for the EEDI condition and sea trial condition are obtained using the same calculation process with justified values of experience-based parameters For justification of calculations replacing model tests refer to 15.3. Only if PAE is computed from EPT Programme of sea trials Check minimum number of measurement points (3) Check the EEDI condition in EPT (if PAE is computed from EPT) Check: • Propulsion power, particulars of the engines • Draught and trim • Sea conditions • Ship speed • Shaft power & rpm Check operation of means of limitations of engines or shaft power (if fitted) Check the power consumption of selected consumers included in sea trials condition EPT (if PAE is computed from EPT) Page 27 of 74 2020 Industry Guidelines for calculation and verification of EEDI Ref. Function 13 Sea trials – corrections calculation 14 Sea trials – adjustment from trial condition to EEDI condition EEDI Technical File – revised after sea trials 15 Survey method Review Reference document ISO 15016:2015 or ITTC Recommended Procedure 7.5-04-01-01.1( latest revision) Documentation available to verifier Sea trials report Review This document 16.2 Power curves after sea trial Review IMO Verification Guidelines Revised EEDI Technical File Page 28 of 74 Remarks Check that the displacement and trim of the ship in sea trial condition has been obtained with sufficient accuracy Check compliance with ISO 15016:2015 or ITTC Recommended Procedure 7.5-04-0101.1( latest revision) Check that the power curve estimated for EEDI condition is obtained by power adjustment Check that the file has been updated according to sea trials results 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 2 Sample of document to be submitted to the verifier including additional information for verification Caution Protection of Intellectual Property Rights This document contains confidential information (defined as additional information) of submitters. Additional information should be treated as strictly confidential by the verifier and failure to do so may lead to penalties. The verifier should note following requirements of IMO Verification Guidelines: “4.1.2 The information used in the verification process may contain confidential information of submitters, which requires Intellectual Property Rights (IPR) protection. In the case where the submitter want a non-disclosure agreement with the verifier, the additional information should be provided to the verifier upon mutually agreed terms and conditions.” Revision list B 01/05/2014 A 01/01/2013 REV. ISSUE DATE Final stage: sections 1 to 16 Design stage: sections 1 to 13 DESCRIPTION Page 29 of 74 XYZ YYY ZZZ XXX YYY ZZZ DRAWN CHECKED APPROVED 2020 Industry Guidelines for calculation and verification of EEDI 1 General This calculation of the Energy Efficiency Design Index (EEDI) is based on : All adopted MEPC resolutions regarding amendments to Chapter 4 of MARPOL Annex VI prior to the date of revision of this guideline Resolution MEPC.308(73) 2018 Guidelines on the method of calculation of the attained Energy Efficiency Design Index (EEDI) for new ships, as amended. Calculations are being dealt with according to the Industry Guidelines on calculation and verification of EEDI, 2020 issue. 2 2.1 Data Main parameters Parameter Owner Builder Hull No. IMO No. Ship’s type Ship classification notations Value OWNER YARD 12346 94111XX Bulk carrier I HULL, MACH, Bulk Carrier CSR BC-A (holds 2 and 4 may be empty) ESP GRAB[20] Unrestricted Navigation AUT-UMS, GREEN PASSPORT, INWATERSURVEY, MON-SHAFT HULL PARTICULARS Length overall Length between perpendiculars Breadth, moulded Depth, moulded Summer load line draught, moulded Deadweight at summer load line draught Lightweight Owner’s voluntary structural enhancements MAIN ENGINE Type & manufacturer Specified Maximum Continuous Rating (SMCR) SFC at 75% SMCR Number of set Fuel type Reference 191.0 m 185.0 m 32.25 m 17.9 m 12.70 m 55000 DWT 11590 tons No BUILDER 6SRT60ME 9200 kW x 105 rpm 171 g/kWh 1 Diesel/Gas oil AUXILIARY ENGINES Page 30 of 74 See paragraph 10.1 2020 Industry Guidelines for calculation and verification of EEDI Parameter Type & manufacturer Specified Maximum Continuous Rating (SMCR) SFC at 50% SMCR Value BUILDER 5X28 650 kW x 700 rpm Reference 205 g/kWh SFC at 75% SMCR (In case PAE is estimated by the electric power table (EPT) for the reason that PAE computed using the formula in the IMO Calculation Guidelines is significantly different from the total power used at normal seagoing) Number of set Fuel type 199 g/kWh See paragraph 10.2 See paragraph 10.2 3 Diesel/Gas oil OVERVIEW OF PROPULSION SYSTEM AND ELECTRICITY SUPPLY SYSTEM SHAFT GENERATORS Type & manufacturer Rated electrical output power Number of set See section 4 None 0 SHAFT MOTORS Type & manufacturer Rated power consumption Efficiency Number of set 0 MAIN GENERATORS Type & manufacturer Rated output Efficiency Number of set BUILDER AC120 605 kWe 0.93 3 PROPULSION SHAFT Propeller diameter Propeller number of blades Voluntarily limited shaft propulsion power Number of set 5.9 m 4 No 1 None ENERGY SAVING EQUIPMENT Description of energy saving equipment Power reduction or power output 2.2 See section 9 Propeller boss cap fins None Preliminary verification of attained EEDI Parameter TOWING TANK TEST ORGANIZATION Identification of organization ISO Certification or previous experience? Value Reference TEST corp. Previous experience See section 6. TOWING TANK TESTS Page 31 of 74 2020 Industry Guidelines for calculation and verification of EEDI Exemption of towing tank tests Process and methodology of estimation of the power curves Ship model information Propeller model information EEDI & sea trial loading conditions No See section 7 See subparagraph 7.2.1 See subparagraph 7.2.2 EEDI: mean draft: 12.7 m Trim 0 Sea trial ( ballast ): mean draft: 5.8 m Trim 2.6 m by stern Propeller open water diagram (model, ship) Experience based parameters Power curves at full scale Ship Reference speed See paragraph 7.4 See paragraph 7.3 See section 3 14.25 knots ELECTRIC POWER TABLE (as necessary, as defined in IMO Calculation Guidelines) As described under paragraph 5.2 of this industry guideline. See section 5 CALCULATION OF ATTAINED EEDI 5.06 See section 11 CALCULATION OF REQUIRED EEDI 5.27 See section 12 CALCULATION OF ATTAINED EEDIweather Not calculated See section 13 2.3 Final verification of attained EEDI Parameter SEA TRIAL LOADING CONDITION POWER CURVES Sea trial report with corrections Ship Reference speed Value See section 3 See section 15 14.65 knots FINAL DEADWEIGHT Displacement Lightweight Deadweight 66171 tons 11621 tons 54550 DWT FINAL ATTAINED EEDI 4.96 3 Reference See section 14 See section 16 Power curves The power curves estimated at the design stage and modified after the sea trials are given in Figure 3.1. Page 32 of 74 2020 Industry Guidelines for calculation and verification of EEDI 75% of MCR Figure 3.1: Power curves 4 Overview of propulsion system and electric power system Figure 4.1 shows the connections within the propulsion and electric power supply systems. The characteristics of the main engines, auxiliary engines, electrical generators and propulsion electrical motors are given in table 2.1. Page 33 of 74 2020 Industry Guidelines for calculation and verification of EEDI Figure 4.1 scheme of the propulsion and power generation systems 5 Electric power table The electric power for the calculation of EEDI is provided in table 5.1. Table 5.1: Electric power table for calculation of PAE Id Grou p Description Mech. Power "Pm" El. Motor output Efficie n. "e" Rated el. Power "Pr" load facto r "kl" duty facto r "kd" time facto r "kt" use facto r "ku" Necessa ry power "Pload" 1 A STEERING GEAR N.A. N.A. N.A. 45,0 0,9 1 0,3 0,27 12.2 2 A HULL CATHODIC PROTECTION N.A. N.A. N.A. 10 1 1 1 1,00 10,0 3 A CRANE N.A. N.A. N.A. 10,00 0,2 1 1 0,20 2,0 4 A COMPASS N.A. N.A. N.A. 0,5 1 1 1 1,00 0,5 5 A RADAR NO.1 N.A. N.A. N.A. 1,3 1 0,5 1 0,50 0,7 6 A RADAR NO.2 N.A. N.A. N.A. 1,3 1 0,5 1 0,50 0,7 7 A NAVIGATION EQUIPMENT N.A. N.A. N.A. 5,0 1 1 1 1,00 5,0 8 A INTERNAL COMM. EQUIPMENT N.A. N.A. N.A. 2,5 1 1 0,1 0,10 0,2 9 A RADIO EQUIPMENT N.A. N.A. N.A. 3,5 1 1 0,1 0,10 0,4 N.A. N.A. N.A. 7,0 1 1 0,1 0,10 0,7 13 B MOORING EQ. MAIN COOLING SEA WATER PUMP NO.1 MAIN COOLING SEA WATER PUMP NO.2 MAIN COOLING SEA WATER PUMP NO.3 14 B 15 B 16 B 10 A 11 B 12 B 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 LT COOLING FW PUMP NO.1 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 LT COOLING FW PUMP NO.2 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 LT COOLING FW PUMP NO.3 28,0 30 0,925 30,3 0,9 0,66 1 0,59 18,0 Page 34 of 74 2020 Industry Guidelines for calculation and verification of EEDI Id Grou p Description Mech. Power "Pm" El. Motor output Efficie n. "e" Rated el. Power "Pr" load facto r "kl" duty facto r "kd" time facto r "kt" use facto r "ku" Necessa ry power "Pload" 17 B M/E COOLING WATER PUMP NO.1 13,0 15 0,9 14,4 1 0,5 1 0,50 7,2 18 B M/E COOLING WATER PUMP NO.2 13,0 15 0,9 14,4 1 0,5 1 0,50 7,2 19 C MAIN LUB. OIL PUMP NO.1 55,0 90 0,94 58,5 0,9 0,5 1 0,45 26,3 20 C MAIN LUB. OIL PUMP NO.2 55,0 90 0,94 58,5 0,9 0,5 1 0,45 26,3 21 C H.F.O. TRANSFER PUMP 6,0 7,5 0,88 6,8 1 1 0,1 0,10 0,7 22 C D.O. TRANSFER PUMP 6,0 7,5 0,88 6,8 1 1 0,1 0,10 0,7 23 C 1,4 2,5 0,8 1,8 1 1 0,1 0,10 0,2 2,5 3,5 0,85 2,9 1 0,5 0,1 0,05 0,1 25 C L.O. TRANSFER PUMP TECHNICAL FRESH WATER PUMP NO.1 TECHNICAL FRESH WATER PUMP NO.2 2,5 3,5 0,85 2,9 1 0,5 0,1 0,05 0,1 26 C E/R SUPPLY FAN NO.1 14,0 20 0,9 15,5 0,9 1 1 0,90 14,0 27 C E/R SUPPLY FAN NO.2 14,0 20 0,9 15,5 0,9 1 1 0,90 14,0 28 C E/R SUPPLY FAN NO.3 14,0 20 0,9 15,5 0,9 1 1 0,90 14,0 29 C 14,0 20 0,9 15,5 0,9 1 1 0,90 14,0 30 C E/R SUPPLY FAN NO.4 PURIFIER ROOM EXH.VENTILATOR 2,5 3 0,82 3,0 0,9 1 1 0,90 2,7 31 C PUMP HFO SUPPLY UNIT NO.1 2,1 3 0,8 2,6 0,9 0,5 1 0,45 1,2 32 C 2,1 3 0,8 2,6 0,9 0,5 1 0,45 1,2 2,8 3,5 0,84 3,3 0,9 0,5 1 0,45 1,5 34 C PUMP HFO SUPPLY UNIT NO.2 CIRC. PUMP FOR HFO SUPPLY UNIT NO.1 CIRC. PUMP FOR HFO SUPPLY UNIT NO.2 0,84 3,3 0,9 0,5 1 0,45 1,5 35 C H.F.O. SEPARATOR NO.1 N.A. N.A. N.A. 6,5 0,9 0,5 0,9 0,41 2,6 36 C H.F.O. SEPARATOR NO.2 N.A. N.A. N.A. 6,5 0,9 0,5 0,9 0,41 2,6 37 C MAIN AIR COMPRESSER NO.1 N.A. N.A. N.A. 43,0 1 0,5 0,1 0,05 2,2 38 C MAIN AIR COMPRESSER NO.2 N.A. N.A. N.A. 43,0 1 0,5 0,1 0,05 2,2 39 C SERVICE AIR COMPRESSER N.A. N.A. N.A. 22,0 1 1 0,1 0,10 2,2 40 C VENT. AIR SUPPLY N.A. N.A. N.A. 1,0 1 1 0,5 0,50 0,1 41 C BILGE WATER SEPARATOR N.A. N.A. N.A. 1,5 1 1 0,1 0,10 0,2 42 C M/E L.O. SEPARATOR N.A. N.A. N.A. 6,5 0,9 1 0,2 0,18 1,2 43 C G/E L.O. SEPARATOR N.A. N.A. N.A. 6,5 0,9 1 0,2 0,18 1,2 44 D HYDROPHORE PUMP NO.1 2,8 4 0,84 3,3 1 0,5 0,1 0,05 0,2 45 D HYDROPHORE PUMP NO.2 HOT WATER CIRCULATING PUMP NO.1 HOT WATER CIRCULATING PUMP NO.2 E/R WORKSHOP WELDING SPACE EXH. 2,8 4 0,84 3,3 1 0,5 0,1 0,05 0,2 0,5 1,0 0,8 0,8 1 0,5 0,2 0,10 0,1 0,5 1,0 0,8 0,8 1 0,5 0,2 0,10 0,1 0,5 0,8 0,8 0,6 0,9 1 1 0,90 0,6 24 C 33 C 46 D 47 D 48 E 49 F 50 F 51 F 52 F 53 F 54 F ECR COOLER UNIT FAN FOR AIR CONDITIONING PLANT COMP. AIR CONDITIONING PLANT NO.1 COMP. AIR CONDITIONING PLANT NO.2 COMP. AIR CONDITIONING PLANT NO.3 COMP. AIR CONDITIONING PLANT NO.4 2,8 3,5 N.A. N.A. N.A. 4,2 1 1 0,5 0,50 2,1 N.A. N.A. N.A. 8,0 0,9 1 0,5 0,45 3,6 N.A. N.A. N.A. 10,0 0,9 1 0,5 0,45 4,5 N.A. N.A. N.A. 10,0 0,9 1 0,5 0,45 4,5 N.A. N.A. N.A. 10,0 0,9 1 0,5 0,45 4,5 N.A. N.A. N.A. 10,0 0,9 1 0,5 0,45 4,5 Page 35 of 74 2020 Industry Guidelines for calculation and verification of EEDI Id Grou p Description Mech. Power "Pm" El. Motor output Efficie n. "e" N.A. N.A. N.A. 1,5 0,9 1 0,5 0,45 0,7 N.A. N.A. N.A. 3,5 0,9 1 0,5 0,45 1,6 Rated el. Power "Pr" load facto r "kl" duty facto r "kd" time facto r "kt" use facto r "ku" Necessa ry power "Pload" 56 G FAN FOR GALLEY AIR COND. PLANT COMP. FOR GALLEY AIR COND. PLANT 57 G REF. COMPRESSOR NO.1 N.A. N.A. N.A. 4,0 1 0,5 0,1 0,05 0,2 58 G REF. COMPRESSOR NO.2 N.A. N.A. N.A. 4,0 1 0,5 0,1 0,05 0,2 59 G GALLEY EQUIPMENT N.A. N.A. N.A. 80,0 0,5 1 0,1 0,05 4,0 60 H VAC. COLLECTION SYSTEM 2,4 3,0 0,8 3,0 1 1 1 1,00 3,0 61 H GALLEY EXH. 1,2 1,5 0,8 1,5 1 1 1 1,00 1,5 62 H LAUNDRY EXH. 0,8 0,1 1 1 1 1,00 0,1 63 H SEWAGE TREATMENT 4,5 1 1 0,1 0,10 0,5 64 H SEWAGE DISCHARGE 3,4 0,9 1 0,1 0,09 0,3 65 I ACCOMMODATION LIGHTING 1 0,5 0,5 8,0 55 G 0,1 N.A. 0,15 N.A. 3 N.A. 7,5 0,88 N.A. N.A. N.A. 16,0 1 66 I E/R LIGHTING N.A. N.A. N.A. 18,0 1 1 1 1,00 18,0 67 I NAVIGATION LIGHTING N.A. N.A. N.A. 0,9 1 0,5 1 0,50 0,4 68 I BACK. NAV. LIGHTING N.A. N.A. N.A. 0,9 1 0,5 1 0,50 TOTAL POWER 0,4 354,0 PAE = Total Power / (average efficiency of generators) = 354/0.93 = 381 kW 6 Towing Tank test organization quality system Towing tank tests will be performed in TEST corp. The quality control system of the towing tank test organization TEST corp. has been documented previously (see report 100 for the ship hull No. 12345) and the quality manual and calibration records are available to the verifier. The measuring equipment has not been modified since the issue of report 100 and is listed in table 6.1. Table 6.1: List of measuring equipment Propeller dynamometer … 7 Manufacturer Model Series Lab. Id. status B&N 300 125-2 Calibrated 01/01/2011 6001 Estimation process of power curves at design stage 7.1 Test procedure The tests and their analysis are conducted by TEST corp. applying their standard correlation method (document is given in annex 1). The method is based on thrust identity and references ITTC Recommended Procedure 7.5 02 - 03 -1.4 ITTC 1978 Trial Prediction Method (in its latest reviewed version of 2017), with prediction of the full scale rpm and delivered power by use of the CP – CN correction factors. The results are based on a Resistance Test, a Propulsion Test and use the Open Water Characteristics of the model propeller used during the tests and the Propeller Open Water Characteristics of the final propeller given in 7.4. Page 36 of 74 2020 Industry Guidelines for calculation and verification of EEDI Results of the resistance tests and propulsion tests of the ship model are given in the report of TEST corp. given in annex 2. 7.2 Speed prediction The ship delivered power PD and rate of revolutions nS are determined from the following equations: 𝑃 𝐶 ∙𝑃 𝑛 𝐶 ∙𝑛 Where CN and CP are experience-based factors and PDS (resp. nS) are the delivered power (resp. rpm) obtained from the analysis of the towing tank tests. The ship total resistance coefficient CTS is given by: 𝑆 𝑆 𝐶 ∙ 1 𝑘 ∙𝐶 ∆𝐶 𝐶 𝐶 𝐶 𝑆 Where: SS: ship hull wetted surface, here 9886 m2 SBK: wetted surface of bilge keels k: form factor. Here 1+k = 1.38 over the speed range, determined according to ITTC standard procedure 7.5-02-02-01 CFS: ship frictional resistance coefficient (computed according to ITTC 1957 formula) ∆CF: roughness allowance, computed according to Bowden-Davison formula. Here ∆CF = 0.000339 CR: residual resistance coefficient CAAS: air resistance coefficient CAppS: ship appendages (propeller boss cap fins) resistance coefficient, computed as provided in annex 2. The air resistance coefficient is computed according to the following formula: 𝜌 ∙𝐴 𝐶 ∙ 𝐶 𝜌 ∙𝑆 Where: CDA is the air drag coefficient, here 0.8 ρA and ρS are the air density and water density, respectively AVS is the projected wind area, here 820 m2 CAAS = 7.9.10-5 The delivered power PD results of the towing tank tests are summarized in table 7.1 for the EEDI condition (scantling draft) and in table 7.2 for the sea trial condition (light ballast draft). Table 7.1: results of trial prediction in EEDI condition Model reference: SX100 - model scale: 40 Loading condition: EEDI loading condition (12.70 m draft) Resistance test: Propulsion test: P001 Model propeller: R001 Prop01 Ship Propeller Wake Propeller rpm on Delivered speed V factor thrust TS torque QS ship nS Power PD w -w (kNm) (kW) TM TS (knot) (kN) 12 0.098 522 467 78 3781 12.5 0.093 578 514 82 4362 Page 37 of 74 2020 Industry Guidelines for calculation and verification of EEDI 13 0.089 638 13.5 0.081 701 14 0.079 768 14.5 0.086 838 15 0.091 912 15.5 0.099 990 Experience-based factor CP: 1.01 Experience based factor CN: 1.02 563 615 669 727 786 849 86 90 93 97 101 105 5004 5710 6486 7333 8257 9261 Table 7.2: results of trial prediction in sea trial condition Model reference: SX100 - model scale: 40 Loading condition: Sea trial condition (5.80 m draft) Resistance test: Model propeller: Propulsion test: POO2 R002 Prop01 Ship Wake speed V factor (knot) wTM-wTS Propeller thrust TS (kN) Propeller torque QS (kNm) 12 0,079 406 12,5 0,081 451 13 0,083 500 13,5 0,085 551 14 0,087 606 14,5 0,088 664 15 0,091 725 15,5 0,089 790 Experience-based factor CP: 1.05 Experience based factor CN: 1.03 Delivered Power PD (kW) rpm on ship nS 379 418 459 503 549 597 648 701 72 76 79 83 87 90 94 98 2974 3445 3968 4545 5181 5878 6641 7474 The predicted results are represented on the speed curves given in Figure 3.1. The EEDI condition results are indexed (Full, p), the sea trial condition results (Ballast, p). 7.3 Ship and propeller models The ship model is at scale λ = 40. The characteristics are given in table 7.3. Table 7.3: characteristics of the ship model Identification (model number or similar) SX 100 Material of construction Wood Principal dimensions Length between perpendiculars (LPP) 4.625 m Length of waterline (LWL) 4.700 m Breadth (B) 0.806 m Draught (T) 0.317 m Design displacement (Δ) (kg, fresh water) 1008.7 kg Wetted surface area 6.25 m2 Details of turbulence stimulation Sand strips Details of appendages rudder Tolerances of manufacture +/- 2.5 mm on length +/- 1 mm on breadth Page 38 of 74 2020 Industry Guidelines for calculation and verification of EEDI The propeller model used during the tests is a stock model with the following characteristics: Table 7.4: characteristics of the stock propeller used during the tests Identification (model number or similar) Prop01 Materials of construction aluminium Blade number 4 Principal dimensions Diameter 147.5 mm Pitch-Diameter Ratio (P/D) 0.68 Expanded blade Area Ratio (AE/A0) 0.60 Thickness Ratio (t/D) 0.036 Hub/Boss Diameter (dh) 25 mm Tolerances of manufacture Diameter (D): ± 0.10 mm Thickness ( t ): ± 0.10 mm Blade width (c): ± 0.20 mm Mean pitch at each radius (P/D): ………..± 0.5% of design value. 7.4 Open water characteristics of propeller The open water characteristics of the stock model propeller are given in annex 2. The open water characteristics of the ship propeller are given in Figure 7.1. Figure 7.1: open water characteristics of ship propeller Page 39 of 74 2020 Industry Guidelines for calculation and verification of EEDI 8 Lines and offsets of the ship The ships lines and offsets table are given in Annex 3. 9 Description of energy saving equipment 9.1 Energy saving equipment of which effects are expressed as PAEeff(i) and/or Peff(i) in the EEDI calculation formula None here. 9.2 Other energy saving equipment The propeller boss cap fins are described in annex 4. 10 Justification of SFC (documents attached to NOx technical file of the parent engine) 10.1 Main engine The shop test report for the parent main engine is provided in annex 5.1. The SFOC has been corrected to ISO conditions. 10.2 Auxiliary engine The technical file of the EIAPP certificate of the auxiliary engines is provided in annex 5.2. The SFOC has been corrected to ISO conditions. 11 Calculation of attained EEDI at design stage 11.1 Input parameters and definitions The EEDI quantities and intermediate calculations are listed in table 11.1: EEDI quantity CFME PME Table 11.1: Parameters in attained EEDI calculation Value Remarks 3.206 6900 kW SFCME 171 g/kWh CFAE PPTI PAE 3.206 0 381 kW Marine Diesel oil is used for shop test of the main engine No shaft generator installed ( PPTO = 0) MCR is 9200 kW PME = 0.75x9200 = 6 900 kW According to parent engine shop test report in ISO conditions (see 10.1) Marine diesel oil is used for shop test of the auxiliary engine No shaft motor installed MCR of the engine is 9200 kW, less than 10000kW 𝑃 0.05 ∙ 𝑀𝐶𝑅 ∑ 𝑃 0.75 PAE = 0.05*9200 = 460 kW According to electric power table included in table 5.1, ∑Pload(i) = 354 kW The weighted average efficiency of generators = 0.93 (KWelec/kWmech) PAE = ∑Pload(i) / 0.93 = 381 kW The difference (460 – 381) KW is expected to vary EEDI by slightly Page 40 of 74 2020 Industry Guidelines for calculation and verification of EEDI SFCAE (at 75% MCR) 199 g/kWh Peff 0 PAEeff `feff fj fi 0 fm 1.0 fw 1.0 fc Capacity Vref 1.0 55000 14.25 knots 1.0 1.017 more than 1%, so 381 kW is considered. According to technical file of EIAPP certificate in ISO conditions (see 10.2). According to the IMO Calculation Guidelines, the SFCAE at 75% MCR should be used when PAE is estimated by the electric power table (EPT) for the reason that PAE computed using the formula in the IMO Calculation Guidelines is significantly different from the total power used at normal seagoing No mechanical energy efficient devices The propeller boss cap fins act by reducing ship resistance No auxiliary power reduction Not relevant here (see above) The ship is a bulk carrier without ice notations. fj = 1.0 No ice notation fiICE = 1.0 No voluntary structural enhancement for this ship fiVSE = 1.0 The ship has the notation Bulk carrier CSR: fiCSR = 1 + 0.08*LWTCSR / DWTCSR = 1+0.08*11590/55000 = 1.017 fi = fiICE x fiVSE x fiCSR = 1.017 No ice notation For attained EEDI calculation under regulation 20 and 21 of MARPOL Annex VI, fw is 1.0 The ship is a bulk carrier not designed to carry light cargoes, fc = 1.0 For a bulk carrier, Capacity is deadweight = 55 000 tons At design stage, reference speed is obtained from the towing tank test report and delivered power in scantling draft (EEDI) condition is given in table 7.1 In table 7.1 PD = 1.0 x PME = 6900 kW The reference speed is read on the speed curve corresponding to table 7.1 at intersection between curve Full, p and 6900 kW Vref = 14.25 knots 11.2 Result For this vessel, Attained EEDI is: Attained EEDI = (6900*3.206*171+381*3.206*199) / (1.017*55000*14.25) = 5.05 g/t.nm 12 Required EEDI According to MARPOL Annex VI, Chapter 4, Regulation 21, the required EEDI is: (1-x/100) x reference line value The reference line value = a*b-c where a, b, c are given for a bulk carrier as: a= 961.79 b = deadweight of the ship c = 0.477 So reference line value = 5.27 g/t.nm Page 41 of 74 2020 Industry Guidelines for calculation and verification of EEDI In Phase 0 (between 1 Jan 2013 and 31 Dec 2014) above 20000 DWT, x = 0 So Required EEDI = 5.27 g/t.nm Figure 12.1 provides the relative position of attained EEDI with reference to required value. As a conclusion, for this vessel: ● attained EEDI = 5.05 g/t.nm ● required EEDI = 5.27 g/t.nm ● Regulation criteria is satisfied with 4.2% margin Figure 12.1: Required EEDI value 13 Calculation of attained EEDIweather Not calculated. 14 Lightweight check report The lightweight check report is provided in annex 6. The final characteristics of the ship are: Displacement Lightweight Deadweight 15 66171 tons 11621 tons 54550 DWT Sea trial report with corrections The sea trial report is provided in annex 7. The results of the sea trial follow the assessment guideline of ISO 15016:2015 are given on curve Ballast,s on Figure 3.1. Page 42 of 74 2020 Industry Guidelines for calculation and verification of EEDI 16 Calculation of attained EEDI at final stage 16.1 Recalculated values of parameters The EEDI quantities and intermediate calculations are listed in table 16.1. Parameters which have not been modified from the preliminary verification stage are marked “no change”. Table 16.1: Parameters in attained EEDI calculation (final stage) EEDI quantity CFME PME SFCME CFAE PPTI PAE Value Remarks 3.206 6900 kW 171 g/kWh 3.206 0 381 kW SFCAE at 75% MCR Peff PAEeff feff fj fi 199 g/kWh No change No change No change No change No change The electric power table has been validated and endorsed (see the electric power table form in annex 8) No change fc fm Capacity 1.0 1.0 54550 DWT Vref 14.65 knots 0 0 1.0 1.017 No change No change No change No change Deadweight and lightweight are computed from lightweight check: fiCSR = 1 + 0.08*LWTCSR / DWTCSR = 1+0.08*11621/54550 = 1.017 fi = fiICE x fiVSE x fiCSR = 1.017 (unchanged) No change No change Deadweight has been computed from the lightweight check. See 14. The reference speed in EEDI condition has been adjusted according to the delivered power adjustment methodology defined in Industry Guidelines. The reference speed is read on the speed curves diagram in Figure 3.1 Vref = 14.65 knots 16.2 Final result Attained EEDI = (6900*3.206*171+381*3.206*199) / (1.017*54550*14.65) = 4.95 g/t.nm Required EEDI in Phase 0: 961.79*54550-0.477 = 5.29 g/t.nm Regulation criteria is satisfied with 6.4% margin Page 43 of 74 2020 Industry Guidelines for calculation and verification of EEDI List of annexes to the Document Annex 1 Standard model-ship extrapolation and correlation method Annex 2 Towing tank tests report Annex 3 Ship lines and offsets table Annex 4 Description of energy saving equipment Annex 5 5.1 NOx Technical File of main engine(s) 5.2 NOx Technical File of auxiliary engines Annex 6 Lightweight check report Annex 7 Sea trials report Annex 8 EPT-EEDI form Page 44 of 74 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 3 Verifying the calibration of model test equipment Quality Control System The existence of a Quality Control System is not sufficient to guarantee the correctness of the test procedures; QS, including ISO 9000, only give documentary evidence what is to be and has been done. Quality Control Systems do not evaluate the procedures as such. The Test institute should have a quality control system (QS). If the QS is not certified ISO 9000 a documentation of the QS should be shown. A Calibration Procedure is given in ITTC Recommended Procedures 7.6-01-01. 1. Measuring Equipment An important aspect of the efficient operation of Quality System according to measuring equipment is a full identification of devices used for the tests. Measuring equipment instruments shall have their individual records in which the following data shall be placed: - name of equipment - manufacturer - model - series - laboratory identification number ( optionally) - status ( verified, calibration, indication ) Moreover the information about the date of last and next calibration or verification shall be placed on this record. All the data shall be signed by authorised officer. 2. Measuring Standards Measuring standards used in laboratory for calibration purposes shall be confirmed (verified) by Weights and Measures Office at appropriate intervals (defined by the Weights and Measures Office). All measuring standards used in laboratory for the confirmation purposes shall be supported by certificates, reports or data sheets for the equipment confirming the source, uncertainty and conditions under which the results were obtained. 3. Calibration The calibration methods may differ from institution to institution, depending on the particular measurement equipment. The calibration shall comprise the whole measuring chain (gauge, amplifier, data acquisition system etc.). The laboratory shall ensure that the calibration tests are carried out using certified measuring standards having a known valid relationship to international or nationally recognised standards. a) Calibration Report “Calibration reports” shall include: Page 45 of 74 2020 Industry Guidelines for calculation and verification of EEDI b) identification of certificate for measuring standards description of environmental conditions calibration factor or calibration curve uncertainty of measurement minimum and maximum capacity” for which the error of measuring instrument is within specified (acceptable) limits. Intervals of Confirmation The measuring equipment (including measuring standards) shall be confirmed at appropriate (usually periodical) intervals, established on the basis of their stability, purpose and wear. The intervals shall be such that confirmation is carried out again prior to any probable change in the equipment accuracy, which is important for the equipment reliability. Depending on the results of preceding calibrations, the confirmation period may be shortened, if necessary, to ensure the continuous accuracy of the measuring equipment. The laboratory shall have specific objective criteria for decisions concerning the choice of intervals of confirmation. c) Non - Conforming Equipment Any item of measuring equipment - that has suffered damage, that has been overloaded or mishandled, that shows any malfunction, whose proper functioning is subject to doubt, that has exceeded its designated confirmation interval, or the integrity of whose seal has been violated, shall be removed from service by segregation, clear labelling or cancelling. Such equipment shall not be returned to service until the reasons for its nonconformity have been eliminated and it is confirmed again. If the results of calibration prior to any adjustment or repair were such as to indicate a risk of significant errors in any of the measurements made with the equipment before the calibration, the laboratory shall take the necessary corrective action. 4. Instrumentation Especially the documentation on the calibration of the following Instrumentation should be shown. a) Carriage Speed The carriage speed is to be calibrated as a distance against time. Period between the calibrations is to be in accordance with the internal procedure of the towing tank test organisation. b) Water Temperature Measured by calibrated thermometer with certificate (accuracy 0.1°C). c) Trim Measurement Calibrated against a length standard. Period between the calibrations is to be in accordance with the internal procedure of the towing tank test organisation. d) Resistance Test Page 46 of 74 2020 Industry Guidelines for calculation and verification of EEDI Resistance Test is a force measurement. It is to be calibrated against a standard weight. Calibration normally before each test series. e) Propulsion Test During Self Propulsion Test torque, thrust and rate of revolutions are measured. Thrust and Torque are calibrated against a standard weight. Rate of revolution is normally measured by a pulse tachometer and an electronic counter which can be calibrated e.g. by an oscillograph. Period between the calibrations is to be in accordance with the internal procedure of the towing tank test organisation. f) Propeller Open Water Test During Propeller Open Water Test torque, thrust and rate of revolutions are measured. Thrust and Torque are calibrated against a standard weight. Rate of revolution is normally measured by a pulse tachometer and an electronic counter which can be calibrated e.g. by an oscillograph. Period between the calibrations is to be in accordance with the internal procedure of the towing tank test organisation. Examples of documentation sheets are given in the Annexes 1 and 2: Page 47 of 74 2020 Industry Guidelines for calculation and verification of EEDI ANNEX 1: SAMPLE OF MEASURING EQUIPMENT CARD QM 4.10.5.1 Measurement Equipment Card Equipment Manufacturer Serial No. Laboratory Identification Number Model Date of Purchase Basic range Status Calibrated Indication Verified Work Instructions Calibration Instructions Verified at Date of Check Certificate. No. Period Date of Next Check Page 48 of 74 Responsible Department Approval 2020 Industry Guidelines for calculation and verification of EEDI ANNEX 2: SAMPLE OF CALIBRATION CERTIFICATE. QM 4.10.6.2 NO. CALIBRATION CERTIFICATE for LIN PROPELLER Calibration Instructions Calibrated by : Date of calibration Checked by : Measurement combination DYNAMOMETER Manufacturer Model Serial No Date of purchased Work instruction Last calibration AMPLIFIER Manufacturer Model LIN Serial No Date of purchased Work instruction Type of transducer Excitation Frequency of excit. Amp. gain Zero not load LIN Cable Thrust : Torque : Amp. gain Zero not load Cable A/C TRANSDUCER LIN MEASUREMENT STANDARDS Manufacturer Model Serial No Date of purchased Work instruction Certificate No Mass Certificate No Length arm of force Certificate No Voltmeter Certificate No Page 49 of 74 2020 Industry Guidelines for calculation and verification of EEDI QM 4.10.6.2 CALIBRATION RESULTS Environmental condition Place of test : Temperature : initial final Dampness : initial final Computation results of calibrations test Executed program procedure certificate NO. Thrust Torque Drift : Non Linearity errors : Hysteresis : Precision errors : Total uncertainty : Calibration factor : Calibration requests : Specified limits of Thrust Torque errors : Maximum capacity : Minimum capacity : Note : tests and computations results are included in report Prepared by : ....................... Approved by : ....................... Date : ................... Page 50 of 74 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 4 Review and witnessing of model test procedures The Model Tests are to be witnessed by the verifier. Special attention is to be given to the following items: 1. Ship Model Hydrodynamic Criteria a) Model Size: The model should generally be as large as possible for the size of the towing tank taking into consideration wall, blockage and finite depth effects, as well as model mass and the maximum speed of the towing carriage (ITTC Recommended Procedure 7.5-02-02-01 Resistance Test). b) Reynolds Number: The Reynolds Number is to be, if possible, above 2.5x 105. c) Turbulence Stimulator: In order to ensure turbulent flow, turbulence stimulators have to be applied. Manufacture Accuracy With regard to accuracy the ship model is to comply with the criteria given in ITTC Recommended Procedure 7.5-01-01-01, Ship Models. The following points are to be checked: a) Main dimensions: LPP, B. b) Surface finish: Model is to be smooth. Particular care is to be taken when finishing the model to ensure that geometric features such as knuckles, spray rails, and boundaries of transom sterns remain well-defined. c) Stations and Waterlines: The spacing and numbering of displacement stations and waterlines are to be properly defined and accurately marked on the model. d) Displacement: The model is to be run at the correct calculated displacement. The model weight is to be correct to within 0.2% of the correct calculated weight displacement. In case the marked draught is not met when the calculated displacement has been established the calculation of the displacement and the geometry of the model compared to the ship has to be revised. (Checking the Offsets). Documentation in the report Identification (model number or similar) Materials of construction Principal dimensions Length between perpendiculars (LPP) Length of waterline (LWL) Breadth (B) Draught (T) For multihull vessels, longitudinal and transverse hull spacing Design displacement (Δ) (kg, fresh water) Page 51 of 74 2020 Industry Guidelines for calculation and verification of EEDI Hydrostatics, including water plane area and wetted surface area Details of turbulence stimulation Details of appendages Tolerances of manufacture 2. Propeller Model The Manufacturing Tolerances of Propellers for Propulsion Tests are given IN ITTC Recommended Procedures 7.5-01-01-01, Ship Models Chapter 3.1.2. Attention: Procedure 7.5 – 01-02-02 Propeller Model Accuracy is asking for higher standards which are applicable for cavitation tests and not required for self-propulsion tests. Propeller Model Accuracy Stock Propellers During the “stock-propeller” testing phase, the geometrical particulars of the final design propeller are normally not known. Therefore, the stock propeller pitch (in case of CPP) is recommended to be adjusted to the anticipated propeller shaft power and design propeller revolutions. (ITTC Recommended Procedure 7.5-02-03-01.1 Propulsion/Bollard Pull Test). Adjustable Pitch Propellers Before the Tests the pitch adjustment is to be controlled. Final Propellers Propellers having diameter (D) typically from 150 mm to 300 mm is to be finished to the following tolerances: Diameter (D) ± 0.10 mm Thickness (t) ± 0.10 mm Blade width (c) ± 0.20 mm Mean pitch at each radius (P/D): ± 0.5% of de-sign value. Special attention is to be paid to the shaping accuracy near the leading and trailing edges of the blade section and to the thickness distributions. The propeller will normally be completed to a polished finish. Documentation in the report Identification (model number or similar) Materials of construction Principal dimensions Diameter Pitch-Diameter Ratio (P/D) Expanded blade Area Ratio (AE/A0) Thickness Ratio (t/D) Hub/Boss Diameter (dh) Tolerances of manufacture 3. Model Tests a) Resistance Test The Resistance Test is to be performed acc. to ITTC Recommended Procedure 7.5-02-02-01 Resistance Test. Documentation in the report Model Hull Specification: Page 52 of 74 2020 Industry Guidelines for calculation and verification of EEDI - Identification (model number or similar) Loading condition Turbulence stimulation method Model scale Main dimensions and hydrostatics (see ITTC Recommended Procedure 7.5-01-0101 Ship Models and chapter 2 of this paper). Particulars of the towing tank, including length, breadth and water depth Test date Parametric data for the test: - Water temperature - Water density - Kinematic viscosity of the water - Form factor (even if (1+k) =1.0 is applicable, this is to be stated) - ΔCF or CA For each speed, the following measured and extrapolated data is to be given as a minimum: - Model speed - Resistance of the model - Sinkage fore and aft, or sinkage and trim b) Propulsion Test The Propulsion Test is to be performed acc. to ITTC Recommended Procedure 7.5-02-0301.1 Propulsion Test/Bollard Pull. Documentation in the report Model Hull Specification: - Identification (model number or similar) - Loading condition - Turbulence stimulation method - Model scale - Main dimensions and hydrostatics (see ITTC Recommended Procedure 7.5-01-0101 Ship Models and chapter 2 of this paper). Model Propeller Specification: - Identification (model number or similar) - Model Scale - Main dimensions and particulars (see ITTC Recommended Procedure 7.5-01-01-01 Ship Models and chapter 3 of this paper) Particulars of the towing tank, including length, breadth and water depth Test date Parametric data for the test: - Water temperature - Water density - Kinematic viscosity of the water - Form factor (even if (1+k) = 1.0 is applicable, this is to be stated) - ΔCF or CA - Appendage drag scale effect correction factor (even if a factor for scale effect correction is not applied, this is to be stated). For each speed the following measured data and extrapolated data is to be given as a minimum: - Model speed - External tow force - Propeller thrust, - Propeller torque Page 53 of 74 2020 Industry Guidelines for calculation and verification of EEDI - Rate of revolutions. - Sinkage fore and aft, or sinkage and trim - The extrapolated values are also to contain the resulting delivered power PD. c) Propeller Open Water Test In many cases the Propeller Open Water Characteristics of a stock propeller will be available and the Propeller Open Water Test need not be repeated for the particular project. A documentation of the Open Water Characteristics (Open Water Diagram) will suffice. In case of a final propeller or where the Propeller Open Water Characteristics is not available the Propeller Open Water Test is to be performed acc. to ITTC Recommended Procedure 7.5-02-03-02.1 Open Water Test. Documentation in the report Model Propeller Specification: - Identification (model number or similar) - Model scale - Main dimensions and particulars (see recommendations of ITTC Recommended Procedure 7.5-01-01-01 Ship Models and chapter 3 of this paper) - Immersion of centreline of propeller shaft in the case of towing tank Particulars of the towing tank or cavitation tunnel, including length, breadth and water depth or test section length, breadth and height. Test date Parametric data for the test: - Water temperature - Water density - Kinematic viscosity of the water - Reynolds Number (based on propeller blade chord at 0.7R) For each speed the following data is to be given as a minimum: - Speed - Thrust of the propeller - Torque of the propeller - Rate of revolution - Force of nozzle in the direction of the propeller shaft (in case of ducted propeller) Propeller Open Water Diagram Page 54 of 74 2020 Industry Guidelines for calculation and verification of EEDI 4. Speed Trial Prediction The principal steps of the Speed Trial Prediction Calculation are given in ITTC Recommended Procedure 7.5 - 02 - 03 -1.4 ITTC 1978 Trial Prediction Method (in its latest reviewed version of 2017). The main issue of a speed trial prediction is to get the loading of the propeller correct and also to assume the correct full scale wake. The right loading of the propeller can be achieved by increasing the friction deduction by the added resistance (e.g. wind resistance etc.) and run the self-propulsion test already at the right load or it can be achieved by calculation as given in Procedure 7.5-02-03-1.4. A wake correction is always necessary for single screw ships. For twin screw ships it can be neglected unless the stern shape is of twin hull type or other special shape. The following scheme indicates the main components of a speed trial prediction. It is to be based on a Resistance Test, a Propulsion Test and an Open Water Characteristics of the used model propeller during the tests and the Propeller Open Water Characteristics of the final propeller. Documentation Model Hull Specification: - Identification (model number or similar) - Loading condition - Turbulence stimulation method - Model scale - Main dimensions and hydrostatics (see ITTC Recommended Procedure 7.5-01-0101 Ship Models and chapter 2 of this paper). Model Propeller Specification: - Main dimensions and particulars (see ITTC Recommended Procedure 7.5-01-01-01 Ship Models and chapter 3 of this paper) Particulars of the towing tank, including length, breadth and water depth Resistance Test Identification (Test No. or similar) Propulsion Test Identification (Test No. or similar) Open Water Characteristics of the model propeller Open Water Characteristics of ship propeller Ship Specification: - Projected wind area - Wind resistance coefficient - Assumed BF - CP and Cn Page 55 of 74 2020 Industry Guidelines for calculation and verification of EEDI For each speed the following calculated data is to be given as a minimum: - Ship speed - Model wake coefficient - Ship wake coefficient - Propeller thrust on ship - Propeller torque on ship - Rate of revolutions on ship - Predicted power on ship (delivered power on Propeller(s) PD) - Sinkage fore and aft, or sinkage and trim Page 56 of 74 2020 Industry Guidelines for calculation and verification of EEDI Scheme for review and witnessing Model Tests Page 57 of 74 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 5 Sample report “Preliminary Verification of EEDI” ATTESTATION PRELIMINARY VERIFICATION OF ENERGY EFFICIENCY DESIGN INDEX (EEDI) by VERIFIER Statement N° EEDI/YYYY/XXX Ship particulars: Ship Owner: Shipyard: Ship's Name: IMO Number: Hull number: Building contract date: Type of ship: Port of registry: Deadweight: Summary results of EEDI Reference speed Attained EEDI Required EEDI VV.V knots X.XX g/t.nm Y.YY g/t.nm Supporting documents Title EEDI Technical File ID and/or remarks RRRR dated DD/MM/YYYY This is to certify: 1 That the attained EEDI of the ship has been calculated according to the 2018 Guidelines on the method of calculation of the attained Energy Efficiency Design Index (EEDI) for new ships, IMO resolution MEPC.308(73) as amended. 2 That the preliminary verification of the EEDI shows that the ship complies with the applicable requirements in regulation 20 and regulation 21 of MARPOL Annex VI as amended. Completion date of preliminary verification of EEDI: xx/xx/xxxx Issued at: on: Signature of the Verifier Page 58 of 74 2020 Industry Guidelines for calculation and verification of EEDI APPENDIX 6 Sample calculations of EEDI Content Appendix 6.1: Cruise passenger ship with diesel-electric propulsion Appendix 6.2: LNG carrier with diesel-electric propulsion Appendix 6.3: Diesel-driven LNG carrier with re-liquefaction system Appendix 6.4: LNG carrier with steam turbine propulsion Page 59 of 74 2020 Industry Guidelines for calculation and verification of EEDI Appendix 6.1 Sample calculation for diesel-electric cruise passenger ship 1. Preliminary calculation of attained EEDI at design stage Attained EEDI for cruise passenger ship having diesel electric propulsion system is calculated as follows at design stage. For a diesel-electric cruise passenger ship: PME = 0, PPTI ≠0, PPTO = 0 1) Input The table below lists the input information needed at the design stage and verified at the final stage: Symbol MPP ηPTI ηGEN HLOADMax SFCAE GT Name Rated output of electric propulsion motors Efficiency of transformer + converter + propulsion motor at 75% of rated motor output Power-weighted average efficiency of generators Consumed electric power excluding propulsion in cruise most demanding conditions Power-weighted average of specific oil consumption among all engines at 75% of the MCR power Gross Tonnage Value 2 x 20000 kW Source From EEDI technical file 0.945 From electric power table 0.974 15 779 kW Calculation from individual generator efficiencies given in electric power table: 0.975*19000+0.972*14000/(14000+19000) From electric power table for the most demanding cruise contractual conditions (here extreme summer conditions 28°C during 80% of the time) 185 g/kWh From NOx technical file 160000 ums From EEDI technical file MCR of auxiliary diesel engines 19,000 kW x 2 + 14,000 kW x 2 MPP 20,000 kW x 2 SFCAE recorded in the test report annexed to the NOx technical file at 75% of MCR power and corrected to the ISO standard reference conditions. 185 g/kWh for both types of engines (19,000 kW and 14,000 kW) 2) Calculation of ∑PPTI The input is the rated output of the electric propulsion motors, MPP, which can be identified with the quantity noted PPTI,Shaft in 2.2.5.3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The term PPTI is then computed as follows: Page 60 of 74 2020 Industry Guidelines for calculation and verification of EEDI ∑ 0.75 𝑀𝑃𝑃 𝑖 𝜂 𝜂 2 0.75 20,000 0.945 0.974 𝑃 𝑃 𝑃 32,593𝑘𝑊 Where ηPTI is the chain efficiency of the transformer, frequency converter and electric motor, as given by the manufacturer at 75% of the rated motor output and ηGen is the weighted average efficiency of the generators. 3) Value of PAE PAE is estimated by the consumed electric power, excluding propulsion, in most demanding (i.e. maximum electricity consumption) cruise conditions as given in the electric power table provided by the submitter, divided by the average efficiency of the generators. The most demanding conditions maximise the design electrical load and correspond to contractual ambient conditions leading to the maximum consumption off heating ventilation and air conditioning systems, in accordance with Note 3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. In this example, the most demanding condition corresponds to extreme summer conditions, where the external air temperature is 28°C during 80% of the time. 𝐻𝐿𝑂𝐴𝐷 𝜂 15,779𝑘𝑊 0.974 16,200𝑘𝑊 𝑃 4) Vref at EEDI condition Vref is obtained by the preliminary speed-power curves as the model tank test results at EEDI condition at design stage. Suppose that Vref of 22.5 kn is obtained at 75% of MPP, in this example calculation at design stage. 5) Calculation of the attained EEDI at design stage EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is marine Gas Oil in this example. EEDI ( PAE PPTI (i )) C FAE SFC AE i Capacity Vref (16200 32593) 185 3.206 8.04 160,000(UMS ) 22.5(kn) 2. Final calculation of attained EEDI at sea trial Attained EEDI at sea trial of cruise passenger ship having diesel electric propulsion system is calculated as follows. Page 61 of 74 2020 Industry Guidelines for calculation and verification of EEDI 1) Typical configuration and example of measurement points at sea trial 2) Specifications Chain efficiency of the electric motor ηPTI and generator efficiency ηGen can be confirmed during the sea trials at EEDI conditions (i.e. 75% of the rated motor output) taking into account the power factor cosφ of the electric consumers. SFCAE is computed form the NOx technical file if this file was not available at the preliminary stage. Gross tonnage is confirmed at 160,000 ums. Prior to sea trials, an on-board survey is performed to ensure that data read on the nameplates of the main electrical pieces of equipment comply with those recorded in the submitted electric power table. 3) Vref at EEDI condition Vref is obtained by the speed-power curves as a result of the sea trial in accordance with the paragraph 4.3.9 of “2014 guidelines on survey and certification of the energy efficiency design index (EEDI)” as amended. Suppose that Vref of 18.7kn is obtained at 75% of MPP, in this example calculation at sea trial. During the sea trials, the shaft power transferred to the propellers PPTI,Shaft must be obtained. It could be measured by a torsiometer fitted on the propeller shaft, or obtained from the computation of the power consumption of the motor PSM through the following relation: 𝑃 , 𝑃 𝜂 4) Calculation of the attained EEDI at sea trial EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is marine Gas Oil in this example. Page 62 of 74 2020 Industry Guidelines for calculation and verification of EEDI EEDI ( PAE PPTI (i )) CFAE SFC AE i Capacity Vref (16200 32593) 185 3.206 7.97 160,000(UMS ) 22.7(kn) Page 63 of 74 2020 Industry Guidelines for calculation and verification of EEDI Appendix 6.2 Sample calculation for LNG carrier having diesel electric propulsion system 1. Preliminary calculation of attained EEDI at design stage Attained EEDI for LNG carrier having diesel electric propulsion system at design stage is calculated as follows. 1) Specifications MCR of main engines 10,000 (kW) x 3 + 6,400 (kW) x 1 MPPMotor 24,000 (kW) SFCME(i)_electric, gas mode at 75% of MCR 162.0 (g/kWh) (for 10,000 (kW)-Engines) (SFC with the addition of the guarantee tolerance) 162.6 (g/kWh) (for 6,400 (kW)-Engine) (Ditto) SFCME(i)_Pilotfuel 6.0 (g/kWh) (for 10,000 (kW)-Engines), 6.1 (g/kWh) (for 6,400 (kW)-Engine) Deadweight 75,000 (ton) 2) ηelectrical at design stage ηelectrical is set as 0.913 in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 3) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 𝑀𝑃𝑃 0.83 𝑃 𝜂 24,000 0.83 21,818 𝑘𝑊 0.913 4) Calculation of PAE PAE is calculated in accordance with paragraph 2.2.5.6.1 and 2.2.5.6.3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 𝑃 0.025 𝑀𝐶𝑅 𝑃 𝐶𝑎𝑟𝑔𝑜𝑇𝑎𝑛𝑘𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦 0.33 0.02 𝑆𝐹𝐶 0.75 𝐵𝑂𝑅 𝐶𝑂𝑃 𝑅 𝑃 1000 , 1 𝑎𝑛𝑑 ⁄𝑜𝑟, 𝑁𝑜𝑡 𝐴𝑝𝑝𝑙𝑖𝑐𝑎𝑏𝑙𝑒 2 𝑎𝑛𝑑 ⁄𝑜𝑟 , 𝑁𝑜𝑡 𝐴𝑝𝑝𝑙𝑖𝑐𝑎𝑏𝑙𝑒 3 𝑃𝑀𝐸 0.025 24,000 1,286 𝑘𝑊 𝑎𝑛𝑑 ⁄𝑜𝑟 , 250 250 0 0 0.02 21,818 Page 64 of 74 2020 Industry Guidelines for calculation and verification of EEDI Note: *1: The value of MPPMotor is used instead of MCRME in accordance with paragraph 2.2.5.6.3.3. 5) Vref at EEDI condition Vref is obtained by the preliminary speed-power curves as the model tank test results at EEDI condition at design stage. Suppose that Vref of 18.4kn is obtained at 83% of MPPMotor, in this example calculation at design stage. 6) Calculation of the attained EEDI at design stage EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is LNG in this example calculation. In this case, SFCAE(i)_electric, gas mode at 75% of MCR is equalto SFCME(i)_electric, gas mode at 75% of MCR, and SFCAE(i)_Pilotfuel is equal to SFCME(i)_Pilotfuel. EEDI PME C FME _ Gas SFC ME _ Gas C FME _ Pilotfuel SFC ME _ Pilotfuel PAE C FAE _ Gas SFC AE _ Gas C FAE _ Pilotfuel SFC AE _ Pilotfuel Capacity Vref 21,818 2.750 162 .1 3.206 6 .0 +1,286 2.750 162 .1 3.206 6.0 7 .79 75 ,000 (DWT) 18 .4(kn) Note: *1: The average weighed value of SFCME(i)_electric, gas mode at 75% of MCR and SFCAE(i)_electric, gas mode at 75% of MCR is used; 162.010,000(kW)3162.66,400(kW) 10,000(kW)36,400(kW) *2: 162.1(g/kWh) The average weighed value of SFCME(i)_Pilotfuel and SFCAE(i)_Pilotfuel is used;. 6.010, 000(kW)3 6.16, 400(kW) 6.0(g/kWh) 10, 000(kW)3 6, 400(kW) 2. Final calculation of attained EEDI at sea trial Attained EEDI for LNG carrier having diesel electric propulsion system at sea trial is calculated as follows. 1) Typical configuration and example of measurement points at sea trial Page 65 of 74 2020 Industry Guidelines for calculation and verification of EEDI 2) Specifications MCR of main engines 10,000 (kW) x 3 + 6,400 (kW) x 1 24,000 (kW) MPPMotor SFCME(i)_electric, gas mode at 75% of MCR 161.6 (g/kWh) (for 10,000 (kW)-Engines) (SFC of the test report in the NOx technical file) 162.2 (g/kWh) (for 6,400 (kW)-Engine) (Ditto) SFCME(i)_Pilotfuel 6.0 (g/kWh) (for 10,000 (kW)-Engines), 6.1 (g/kWh) (for 6,400 (kW)-Engine) Deadweight 75,500 (ton) 3) ηelectrical at sea trial ηelectrical is set as 0.913 in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 4) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 𝑀𝑃𝑃 𝑃 0.83 𝜂 24,000 21,818 𝑘𝑊 0.83 0.913 5) Calculation of PAE PAE is calculated in accordance with paragraph 2.2.5.6.1 and 2.2.5.6.3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 𝑃 0.025 𝑀𝐶𝑅 𝑃𝑇𝐼 𝑖 𝐶𝑎𝑟𝑔𝑜𝑇𝑎𝑛𝑘𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦 0.33 𝑆𝐹𝐶 0.02 𝑃 0.025 24,000 𝐵𝑂𝑅 0.75 𝐶𝑂𝑃 250 𝑅 𝑃 1000 , 𝑎𝑛𝑑 ⁄𝑜𝑟; … 1 𝑎𝑛𝑑 ⁄𝑜𝑟; 𝑁𝑜𝑡 𝐴𝑝𝑝𝑙𝑖𝑐𝑎𝑏𝑙𝑒 … 2 𝑎𝑛𝑑 ⁄𝑜𝑟; 𝑁𝑜𝑡 𝐴𝑝𝑝𝑙𝑖𝑐𝑎𝑏𝑙𝑒 … 3 250 0 0 0.02 21,818 1,286 𝑘𝑊 Note: *1: The value of MPPMotor is used instead of MCRME in accordance with paragraph 2.2.5.6.3.4 6) Vref at EEDI condition Vref is obtained by the speed-power curves as a result of the sea trial in accordance with paragraph 4.3.9 of the “2014 guidelines on survey and certification of the energy efficiency design index (EEDI)” as amended. Suppose that Vref of 18.5kn is obtained at 83% of MPPMotor, in this example calculation at sea trial. Page 66 of 74 2020 Industry Guidelines for calculation and verification of EEDI 7) Calculation of the attained EEDI at sea trial EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is LNG in this example calculation. In this case, SFCAE(i)_electric, gas mode at 75% of MCR is equal to SFCME(i)_electric, gas mode at 75% of MCR, and SFCAE(i)_Pilotfuel is equal to SFCME(i)_Pilotfuel. EEDI PME C FME _ Gas SFCME _ Gas C FME _ Pilotfuel SFCME _ Pilotfuel PAE C FAE _ Gas SFC AE _ Gas C FAE _ Pilotfuel SFC AE _ Pilotfuel Capacity Vref 21,818 2.750 161.7 3.206 6.0+1,286 2.750 161.7 3.206 6.0 7.67 75,500(DWT) 18.5(kn) Note: *1: The average weighed value of SFCME(i)_electric, gas mode at 75% of MCR and SFCAE(i)_electric, gas mode at 75% of MCR is used;. 161.610,000(kW)3162.26,400(kW) 10,000(kW)36,400(kW) 161.7(g/kWh) *2: The average weighed value of SFCME(i)_Pilotfuel and SFCAE(i)_Pilotfuel is used; 6.010, 000(kW)36.16, 400(kW) 6.0(g/kWh) 10, 000(kW)36, 400(kW) Page 67 of 74 2020 Industry Guidelines for calculation and verification of EEDI Appendix 6.3 Sample calculation for LNG carrier having diesel driven with re-liquefaction system 1. Preliminary calculation of attained EEDI at design stage Attained EEDI for LNG carrier having diesel driven with re-liquefaction system at design stage is calculated as follows. 1) Specifications MCR ME(i) 18,660 x 2 (kW) = 37,320 (kW) SFCME(i)_at 75% of MCR 165.0 (g/kWh) SFCAE(i)_at 50% of MCR 198.0 (g/kWh) 211,900 (m3) CargoTankCapacityLNG BOR 0.15 (%/day) COPcooling 0.166 15.142 COPreliquefy 425 𝑘𝑔⁄𝑚 511 𝑘𝐽⁄𝑘𝑔 15.142 𝐶𝑂𝑃 24 ℎ 3600 𝑠𝑒𝑐 𝐶𝑂𝑃 Rreliquefy Deadweight 2) 1 109,000 (ton) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PME (i) 0.75 MCRME (i ) 0.75 18,660 18,660 27,990(kW) 3) Calculation of PAE PAE is calculated in accordance with paragraph 2.2.5.6.1 and 2.2.5.6.3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PAE = 0.025 x Σ0.0ME(i) + 250 + CargoTankCaipacityLNG x BOR x COPreliquefy x Rreliquefy = 0.025 x 37,320 +250 + 211,900 x 0.15/100 x 15.142 x 1 = 5,996 (kW) 4) Vref at EEDI condition Vref is obtained by the preliminary speed-power curves as the model tank test results at EEDI condition at design stage. Suppose that Vref of 19.7kn is obtained at 75% of MCRME(i), in this example calculation at design stage. 5) Calculation of the attained EEDI on design stage EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. Page 68 of 74 2020 Industry Guidelines for calculation and verification of EEDI EEDI PME CFME SFCME PAE CFAE SFC AE Capacity Vref 27,990 3.206 165.0+5,996 3.206 198.0 8.668 109,000(DWT) 19.7(kn) 2. Final calculation of attained EEDI at sea trial Attained EEDI for LNG carrier having diesel driven with re-liquefaction system at sea trial is calculated as follows. 1) Specifications MCR ME(i) SFCME(i)_at 75% of MCR SFCAE(i)_at 50% of MCR CargoTankCapacityLNG BOR COPcooling COPreliquefy COPreliquefy 18,660 x 2 (kW) = 37,320 (kW) 165.5 (g/kWh) 198.5 (g/kWh) 211,900 (m3) 0.15 (%/day) 0.166 15.142 425 (kg / m3 ) 511 (kJ / kg ) 15.142 24 (h) 3600 (sec) COPcooling Rreliquefy Deadweight 1 109,255 (ton) SFCME(i)_at 75% of MCR and SFCAE(i)_at 50% of MCR are in accordance with paragraph 2.2.7.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. Deadweight is in accordance with paragraph 4.3.10 of the “2014 guidelines on survey and certification of the energy efficiency design index (EEDI)” as amended. 2) Measured values at sea trial Relation between SHPseatrial and Ship’s speed shall be measured and verified at sea trial. 3) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PME (i) 0.75 MCRME (i ) 0.75 18,660 18,660 27,990(kW) 4) Calculation of PAE PAE is calculated in accordance with paragraph 2.2.5.6.3.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PAE = 0.025 x Σ0.0ME(i) + 250 + CargoTankCaipacityLNG x BOR x COPreliquefy x Rreliquefy = 0.025 x 37,320 +250 + 211,900 x 0.15/100 x 15.142 x 1 = 5,996 (kW) Page 69 of 74 2020 Industry Guidelines for calculation and verification of EEDI 5) Vref at EEDI condition Vref is obtained by the speed-power curves as a result of the sea trial in accordance with paragraph 4.3.9 of the“2014 guidelines on survey and certification of the energy efficiency design index (EEDI)” as amended. Suppose that Vref of 19.8kn is obtained at 75% of MCRME(i), in this example calculation at sea trial. 6) Calculation of the attained EEDI at sea trial EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. EEDI PME CFME SFCME PAE CFAE SFC AE Capacity Vref 27,990 3.206 165.5+5,996 3.206 198.5 8.629 109,255(DWT) 19.8(kn) Page 70 of 74 2020 Industry Guidelines for calculation and verification of EEDI Appendix 6.4 Sample calculation for LNG carrier having steam turbine propulsion system 1. Preliminary calculation of attained EEDI at design stage Attained EEDI for LNG carrier having steam turbine propulsion system at design stage is calculated as follows. 1) Specifications MCRSteam turbine SFCSteam turbine Deadweight 2) 25,000 (kW) 241.0 (g/kWh) 75,000 (ton) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the“2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PME 0.83 MCRSteamTurbine 0.83 25,000 20,750(kW) 3) Calculation of PAE PAE is treated as 0(zero) because electric load (Pgenerator_seatrial) is supposed to be included in SFCSteamTurbine, in accordance with paragraph 2.2.5.6.5 and 2.2.7.2.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PAE = 0 4) Vref at EEDI condition Vref is obtained by the preliminary speed-power curves as the model tank test results at EEDI condition at design stage. Suppose that Vref of 18.7kn is obtained at 83% of MCRSteamTurbine, in this example calculation at design stage. 5) Calculation of the attained EEDI on design stage EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is LNG in this example calculation. EEDI PME CFME SFCME PAE CFAE SFC AE Capacity Vref 20,750 2.750 241.0+0 9.81 75,000(DWT) 18.7(kn) 2. Final calculation of attained EEDI at sea trial Attained EEDI for LNG carrier having steam turbine propulsion system at sea trial is calculated as follows. Page 71 of 74 2020 Industry Guidelines for calculation and verification of EEDI 1) Typical configuration and example of measurement points at sea trial In addition to the above, in order to correct measured Fuel Consumption to the design conditions corresponding to the SNAME condition, inlet air temperature, sea water temperature, steam temperature, steam pressure, etc. are measured, as appropriate. PAE is treated as 0(zero) because electric load (Pgenerator_seatrial) is supposed to be included in SFCSteamTurbine, in accordance with paragraph 2.2.5.6.5 and 2.2.7.2.1 of the “ 2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. 2) Specifications MCRSteam turbine SFCSteam turbine Deadweight 3) 25,000 (kW) 241.0 (g/kWh) 75,000 (ton) Measured values at sea trial P generator_seatrial 980 (kW) SHPseatrial 21,520 (kW) Fuel Consumption_seatrial 5.95 x 106 (g/hour) Each Fuel Consumption(j)_seatrial should be corrected in accordance with paragraph 2.2.7.2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. Coefficient of flow meter Steam temperature Steam pressure 1.0010 500 degree Celsius 5.85 (MPaG) Page 72 of 74 2020 Industry Guidelines for calculation and verification of EEDI Condenser vacuum 725 (mmHg) Dist. water production 28.5 (t/day) Inlet air temperature of FAN 45 degree Celsius Lower calorific value of fuel used at sea trial 42,030 (kJ/kg) 4) Calculation of SFCSteamTurbine at sea trial SFCSteamTurbine is calculated in accordance with paragraph 2.2.7.2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. SFC SteamTurbi ne _ seatrial (i ) FuelConsum ption _ Seatrial SHPseatrial *1 5.95 106 C 1 C 2 C 3 C 4 C 5 C 6 C 7 21,520 5.95 106 0.9871 0.8756 1.0010 1.0001 1.0035 21,520 0.9999 1.0028 240.7 (g/kW/h) Note: *1: SFC should be corrected to the value corresponding to SNAME and EEDI conditions, in accordance with paragraph 2.2.7.2 .2 and .3 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. Coefficients from C1 to C7 represent as follows. C1: Coefficient of electric power to the electric load equivalent to PAE = 0.025 x MCRSteam turbine + 250 = 875 (kW) C2: Coefficient of LCV to the standard LCV of 48,000 kJ/kg for LNG fuel C3: Coefficient of flow meter C4: Coefficient of steam temperature and steam pressure C5: Coefficient of condenser vacuum for steam turbine C6: Coefficient of water feed of condenser C7: Coefficient of inlet air temperature SFCSteamTurbine is calculated as the value to include all losses of machinery and, gears necessary for main propulsion system and the specified electric load of PAE. Minimum two SFCSteamTurbine at around the EEDI power are obtained at the sea trial. However in this example calculation, all SFCSteamTurbine (i) are supposed to the same value of 240.7 g/kWh. 5) Calculation of PME PME is calculated in accordance with paragraph 2.2.5.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PME 0.83 MCRSteamTurbine 0.83 25,000 20,750(kW) Page 73 of 74 2020 Industry Guidelines for calculation and verification of EEDI 6) Calculation of PAE PAE is treated as 0(zero) because electric load (Pgenerator_seatrial) is supposed to be included in SFCSteamTurbine, in accordance with paragraph 2.2.5.6.5 and 2.2.7.2.1 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. PAE = 0 7) Vref at EEDI condition Vref is obtained by the speed-power curves as a result of the sea trial in accordance with paragraph 4.3.9 of the “2014 guidelines on survey and certification of the energy efficiency design index (EEDI)” as amended. Suppose that Vref of 18.8kn is obtained at 83% of MCRSteamTurbine, in this example calculation at sea trial. 8) Calculation of the attained EEDI at sea trial EEDI is calculated in accordance with paragraph 2 of the “2018 guidelines on the method of calculation of the attained energy efficiency design index (EEDI) for new ships”. The primary fuel is LNG in this example calculation. EEDI PME CFME SFCME PAE CFAE SFC AE Capacity Vref 20,750 2.750 240.7+0 9.74 75,000(DWT) 18.8(kn) End of Document Page 74 of 74